Question

A motorcycle of mass 100 kg travels around a flat circular track of radius 10 m with a constant speed of 30 mi./s. What force is required to keep the motorcycle moving in a circular path at the speed?

Answer 1

Question #63780, Physics / Mechanics

A motorcycle of mass 100 kg travels around a flat circular track of radius 10 m with a constant speed of 30 mi./s. What force is required to keep the motorcycle moving in a circular path at the speed?

Solution

The required centripetal force:

$$F = m \frac {v ^ {2}}{r};$$ $$F = 100 \mathrm{~kg} \frac {\left(30 \mathrm{~m/s}\right) ^ {2}}{10 \mathrm{~m}} = 9,000 \mathrm{~N}$$

Answer: 9,000 N.

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