Consider a situation of simple harmonic motion in which the distance between the endpoints is 2.39 m and exactly 8 cycles are completed in 22.7 s. when this motion is viewed as a projection of circular motion, what are the radius, r, and angular velocity, ? , of the circular motion?

1.195 m

2.8375 s

2.21433 rad/s

Explanation:

d = Distance = 2.39 m

N = Number of cycles = 8

t = Time to complete 8 cycles = 22.7 s

Radius would be equal to the distance divided by 2

The radius is 1.195 m

Time period would be given by

Time period of the motion is 2.8375 s

Angular speed is given by

The angular speed of the motion is 2.21433 rad/s

the answer is 46 mls because when you add the speed per second it increses the speed

d.7.5cm is your answer