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.

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.