A child of mass m rides on a Ferris wheel as shown in figure (a). The child move

Question

A child of mass m rides on a Ferris wheel as shown in figure (a). The child moves in a vertical circle of radius 10.4 m at a constant speed of 2.95 m/s.

Calculate the magnitude of the force on the child causing the centripetal acceleration if the ride is midway up the circle (on his way up). Express your answer in terms of mg.

Top top 7mg mg Bottom (a) A child rides on a Ferris wheel. (b) The forces acting on the child at the bottom of the path. (c) The forces acting on the child at the top of the path

Explanation / Answer

Here,

R = 10.4 m
Speed = V = 2.95 m/s

In Circular motion Force due to centripital acceleration act toward centre which is given by

Fnet = m*Ac

F + m*g = m*V^2/R

F + m*g = m*2.95^2 / 10.4

F = m*2.95^2 / 10.4 - 9.8*m

F = m(0.836 - 9.8)

F = 8.964 * m

Where , m is mass of child

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