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An amusement park ride called "The spinn...

An amusement park ride called "The spinning Terror" is a large vertical drum which spins so fast that everyone stays pinned against the wall when the floor drops away the minimum

A

angular velocity is `omega_("min")= sqrt((g)/(muR))` for everyone to stay inside.

B

linear velocity is `v_("min")=sqrt((g)/(muR))` for everyone to stay inside.

C

angular velocity is `omega_("min")= sqrt((gR)/(mu))` for everyone to stay inside.

D

linear velocity is `v_("min")= sqrt((gR)/(mu))` for everyone to stay inside.

Text Solution

Verified by Experts

The correct Answer is:
A, D

`mg=muN`
`N=m omega_("min")^(2) r`
` rArr mg = mu mr omega_("min")^(2)`
`rArr omega_("min")= sqrt((g)/(muR)) and v_("min")=omega_("min")xxR=sqrt((gR)/(mu))`
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Knowledge Check

  • A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be ( g = 10 m//s^2 )

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