3. Fig. 2 shows a Big Wheel at a fairground. It has a radius of 3 m. Once it is loaded with passengers it is given a uniform angular acceleration for 20 s then runs at uniform angular speed for 2 minutes as main ride. It then slows down at a uniform rate over a further 10 s. During the main part of the ride, the wheel completes 1 revolution every 10 s. (c) Find the magnitude of the radial and tangential acceleration of a passenger at the top of the ride when it is travelling at maximum speed. 3m

Principles of Physics: A Calculus-Based Text
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Chapter3: Motion In Two Dimensions
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3. Fig. 2 shows a Big Wheel at a fairground. It has a radius of 3 m. Once it is loaded with
passengers it is given a uniform angular acceleration for 20 s then runs at uniforrm angular
speed for 2 minutes as main ride. It then slows down at a uniform rate over a further 10 s.
During the main part of the ride, the wheel completes 1 revolution every 10 s.
Find the magnitude of the radial and tangential acceleration of a passenger at
(c)
the top of the ride when it is travelling at maximum speed.
3m
Fig. 2
Transcribed Image Text:3. Fig. 2 shows a Big Wheel at a fairground. It has a radius of 3 m. Once it is loaded with passengers it is given a uniform angular acceleration for 20 s then runs at uniforrm angular speed for 2 minutes as main ride. It then slows down at a uniform rate over a further 10 s. During the main part of the ride, the wheel completes 1 revolution every 10 s. Find the magnitude of the radial and tangential acceleration of a passenger at (c) the top of the ride when it is travelling at maximum speed. 3m Fig. 2
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