Physics: A fairground ride consists of a large vertical drum that spins so fast that everyone inside it stays pinned against the wall when the floor drops away. The diameter of the drum is 10 m. Assume that the coefficient of static friction between the drum and the rider’s clothes are 0.15. a) What is the minimum speed required for the riders so that they stay pinned against the inside of the drum when the the floor drops away?

A fairground ride consists of a large vertical - id13305728, justinerodriguz2878

diyagawande

18.06.2021

v = 3.84 m/s

Explanation:

In order for the riders to stay pinned against the inside of the drum the frictional force on them must be equal to the centripetal force:

$Centripetal\ Force = Frictional\ Force\\\\\frac{mv^2}{r} = \mu R = \mu W\\\\\frac{mv^2}{r} = \mu mg\\\\\frac{v^2}{r} = \mu g\\\\v = \sqrt{\mu gr}$

where,

v = minimum speed = ?

g = acceleration due to gravity = 9.81 m/s²

r = radius = 10 m

μ = coefficient of friction = 0.15

Therefore,

$v=\sqrt{(0.15)(9.81\ m/s^2)(10\ m)}$

v = 3.84 m/s

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