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<p>Two pieces of mud are stuck to the spoke of a bicycle wheel. Piece A is closer to the circumference of the tire, while piece B is closer to the centre of the wheel.</p><p>Is the angular velocity at which piece A is traveling greater than, less than, or equal to the angular velocity at which piece B is traveling?</p>

<p>Kumar rides a bicycle and he travels <code class='latex inline'>5\pi</code> metres in <code class='latex inline'>5</code> seconds. If the diameter of wheel is <code class='latex inline'>1.0</code> m, calculate:</p><p>the angular speed of the wheel</p>

<p>Two pieces of mud are stuck to the spoke of a bicycle wheel. Piece A is closer to the circumference of the tire, while piece B is closer to the centre of the wheel.</p><p>If the angular velocity of the bicycle wheel increased, would the velocity at which piece A is traveling as a percent of the velocity at which piece B is traveling increase, decrease, or stay the same?</p>

<p>The London Eye is a large Ferris wheel located on the banks of the Tames River in London, England. Each sealed and air-conditioned passenger capsule holds about <code class='latex inline'>25</code> passengers. The diameter of the wheel is <code class='latex inline'>135</code> m, and the wheel takes about half an hour to complete one revolution.</p><p>What is the angular velocity of a passenger, in radians per second?</p>

<p>Circle A has a radius of 15 cm and a central angle of <code class='latex inline'>\displaystyle \frac{\pi}{6}</code> radians, circle B has a radius of 17 cm and a central angle of <code class='latex inline'>\displaystyle \frac{\pi}{7}</code> radians, and circle C has a radius of 14 cm and a central angle of <code class='latex inline'>\displaystyle \frac{\pi}{5}</code> radians. </p><p>Put the circles in order, from smallest to largest, based on the lengths of the arcs subtending the central angles.</p>

<p>A pulley is driven by a belt moving at <code class='latex inline'>10.0</code> m/s. Find:</p><p>the angle in degrees swept by the pulley's radius in <code class='latex inline'>3.14</code> s.</p>

<p>Kumar rides his bicycle such that the back wheel rotates 10 times in 5 s. Determine the angular velocity of the wheel in :</p><p>degrees per second</p><p>radians per second</p>

<p>Two pieces of mud are stuck to the spoke of a bicycle wheel. Piece A is closer to the circumference of the tire, while piece B is closer to the centre of the wheel.</p><p>Is the velocity at which piece A is traveling greater than, less than, or equal to the velocity at which piece B is traveling?</p>

<p>A wheel is rotating at an angular velocity of <code class='latex inline'>1.2\pi</code> radians/s, while a point on the circumference of the wheel travels <code class='latex inline'>9.6\pi</code> m in <code class='latex inline'>10</code> s.</p><p>How many revolutions does the wheel make in 1 min?</p><p>What is the radius of the wheel?</p>

<p>A wind turbine has three blades, each measuring 3 m from centre to tip. At a particular time, the turbine is rotating four times a minute. </p><p>Determine the angular velocity of the turbine in radians/second.</p><p>How far has the tip of a blade traveled after 5 min?</p>

<p>A shade tree that is 20 m tall is located <code class='latex inline'>30 m</code> from an apartment building, which is <code class='latex inline'>10 m</code> in height. By mid morning, the shadow of the tree falls directly toward the building. The angle of elevation of the sun increases by <code class='latex inline'>15^o</code> per hour. Determine the length of time that is least part of the shadow of the tree falls on the building.</p>

<p>A fly wheel has a radius of <code class='latex inline'>3</code> m and is turning at a rate of <code class='latex inline'>300</code> rpm.</p><p>Determine the angular velocity of the wheel in radians per second.</p><p>Determine the linear velocity, in meters per second of the belt which drives the wheel.</p>

<p>An engine on a jet aircraft turns at about <code class='latex inline'>12 000</code> rpm. </p><p>Find an exact value, as well as an approximate value, for the angular velocity of the engine in radians per second.</p>

<p>A wheel traveling at <code class='latex inline'>10</code> rpm covers <code class='latex inline'>33</code> linear feet in <code class='latex inline'>1</code> minute. Determine the radius of the wheel.</p>

<p>A tire is rotating at a rate of 42 rpm.</p><p>Determine the exact value of angular velocity in radians per second.</p>

<p>Inside a mechanical clock two gears are interconnected as shown. The ratio of the radii is <code class='latex inline'>4</code> to <code class='latex inline'>1</code>. If the larger wheel is doing <code class='latex inline'>6</code> revolutions per minute, find:</p><p>the angular speed (in rad/s) of the smaller wheel</p>

<p>Inside a mechanical clock two gears are interconnected as shown. The ratio of the radii is <code class='latex inline'>4</code> to <code class='latex inline'>1</code>. If the larger wheel is doing <code class='latex inline'>6</code> revolutions per minute, find:</p><p>the angle in degrees swept by the radius of the large wheel in <code class='latex inline'>2.0</code>s.</p>

<p>The members of a high-school basketball team are driving from Calgary to Vancouver, which is a distance of 675 km. Each tire on their van has a radius of 32 cm. </p><p>If the team members drive at a constant speed and cover the distance from Calgary to Vancouver in 6 h 45 min, what is the angular velocity, in radians/second, of each tire during the drive?</p>

<p>The pendulum of a clock is 20 inches long and swing through an arc of <code class='latex inline'>20^o</code> each second. How far does the tip of the pendulum move in <code class='latex inline'>1</code> second? </p>

<p>A particle moves <code class='latex inline'>40</code> m on a circle in <code class='latex inline'>5</code> s and the radius of the circle is <code class='latex inline'>8</code> m, determine the angular velocity of the particle in radians per second.</p>

<p>The London Eye is a large Ferris wheel located on the banks of the Tames River in London, England. Each sealed and air-conditioned passenger capsule holds about 25 passengers. The diameter of the wheel is <code class='latex inline'>135</code> m, and the wheel takes about half an hour to complete one revolution.</p><p>How long would it take a passenger to travel <code class='latex inline'>2</code> radians?</p>

<p>The London Eye is a large Ferris wheel located on the banks of the Tames River in London, England. Each sealed and air-conditioned passenger capsule holds about <code class='latex inline'>25</code> passengers. The diameter of the wheel is <code class='latex inline'>135</code> m, and the wheel takes about half an hour to complete one revolution.</p><p>What is the angular velocity of a passenger, in degrees per second?</p>

<p>A pulley is driven by a belt moving at <code class='latex inline'>10.0</code> m/s. Find:</p><p>the pulley's angular speed (in rad/s) if its radius is <code class='latex inline'>0.50</code> m</p>

<p>A bike is moving at constant speed of <code class='latex inline'>18</code> km/h on a flat road. </p><p>Find the number of revolutions done by the wheel in <code class='latex inline'>3.14</code> s if the radius of the wheel is <code class='latex inline'>0.5 m</code>.</p>

<p>A bike is moving at constant speed of <code class='latex inline'>18</code> km/h on a flat road. </p><p>Find the wheels' angular speed (in rad/s) if its radius is <code class='latex inline'>0.50</code> m</p>

<p>The members of a high-school basketball team are driving from Calgary to Vancouver, which is a distance of <code class='latex inline'>675</code> km. Each tire on their van has a radius of <code class='latex inline'>32</code> cm. If the team members drive at a constant speed and cover the distance from Calgary to Vancouver in <code class='latex inline'>6</code> h <code class='latex inline'>45</code> min, what is the angular velocity, in radians/second, of each tire.</p>

<p>Kumar rides a bicycle and he travels <code class='latex inline'>5\pi</code> metres in <code class='latex inline'>5</code> seconds. If the diameter of wheel is <code class='latex inline'>1.0</code> m, calculate:</p><p>the angle swept by the radius of the wheel in 2 seconds.</p>