The horse on a carousel is 4.0 m from the central axis. If the carousel rotates

Question

The horse on a carousel is 4.0 m from the central axis. If the carousel rotates at 0.10 rev/s, how long does it take the horse to go around twice.

Please go by step by step and explain how to do this problem.

Modern wind turbines are larger than they appear, and despite theri apparently lazy motion, the speed of the blades tips can be quite high- many times higher than the wind speed. A typical modern turbine has blades 56m long and spin at 13rpm. At the tip of the blade, what are A) the speed and B) the centripetal acceleration?

Explanation / Answer

so f = 0.1

period is time to go around once, T = 1/0.1 = 10 s

so go around twice is 2 T = 20 s

2)

v = w r = (13*2*pi/60)*56= 76.2 m/s

a = v^2/r = 76.2^2/56= 103.7 m/s^2

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