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. (a) Find the total angle through which a passenger moves. (b) Calculate the total linear distance the passenger travels during this time. (c) the top of the ride when it is travelling at maximum speed. Find the magnitude of the radial and tangential acceleration of a passenger at 3 m Fig. 2

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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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 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.
(a)
Find the total angle through which a passenger moves.
(b)
Calculate the total linear distance the passenger travels during this time.
(c)
the top of the ride when it is travelling at maximum speed.
Find the magnitude of the radial and tangential acceleration of a passenger at
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 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. (a) Find the total angle through which a passenger moves. (b) Calculate the total linear distance the passenger travels during this time. (c) the top of the ride when it is travelling at maximum speed. Find the magnitude of the radial and tangential acceleration of a passenger at 3m Fig. 2
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