A wheel initially has an angular velocity of 18 ras/s but it is slowing ar a rate of 2.0rad/s^2. If it stops in 3 sec it will have turned through how many radian?

Question

Physics

Kailee Watkins

20 March, 20:00

A wheel initially has an angular velocity of 18 ras/s but it is slowing ar a rate of 2.0rad/s^2. If it stops in 3 sec it will have turned through how many radian?

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Answers (1)

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Audrey Fox · Answer 1

The number of radians (d) that the wheel have turned may be calculated by the equation,

d = (v1) (t) + 0.5 x a x t²

where v1 is the initial velocity, a is the acceleration, and t is time. Substituting the known values

d = (18 rad/s) (3s) + (0.5) x (-2 rad/s²) x (3s) ²

The value of d is 63 radians.