Please show all steps! thank you so much! :) 1. During 0.29 s, a wheel rotates t

Question

Please show all steps! thank you so much! :)

1. During 0.29 s, a wheel rotates through an angle of 3.48 rad as a point on the periphery of the wheel moves with a constant speed of 2.30 m/s. What is the radius of the wheel?




and this problem

2. Passengers riding in the Great Six Flags Air Racer are spun around a tall steel tower (see the figure). At top speed the planes fly at a 56.0 o bank approximately 12.0 m from the tower. In this position the support chains make an angle of 56.0 o with the vertical. Calculate the speed of the planes.

Explanation / Answer

We know that
v = wr

Thus r = v/w

Here w = 3.48/0.29 = 12 rad/sec

Thus r = 2.3/12 =0.192 m

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