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Centripetal force with normal force and weight

Thread starter sens
Start date Oct 15, 2016
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Centripetal Centripetal force Force

1 reply · 1K views · last reply Oct 15, 2016

sens

Thread starter
Oct 15, 2016

#1

Homework Statement

Text of Question 12: an amusement park ride with a vertical cylinder spinning so a person is held against the wall when the floor drops; static friction coefficient 0.42, radius 11 m, find the maximum period of revolution to one tenth of a second.

Homework Equations

f = mg
N = mw^2R

The Attempt at a Solution

Is this method and answer correct? The answer in my solution sheet is different so I'm wondering where i went wrong

Handwritten solution for a rotating cylinder rider: a free-body diagram shows normal force N toward the axis, friction f upward, weight mg downward, with μs = 0.42 and R = 11 m; equations N = mω²R, f = mg, and T = sqrt(4π²μsR/g) lead to T = 4.30 seconds.

Discussion

haruspex

Science Advisor

Homework Helper

Insights Author

Gold Member

Oct 15, 2016

#2

sens said:

Homework Statement

Homework Equations

f = mg
N = mw^2R

The Attempt at a Solution

Is this method and answer correct? The answer in my solution sheet is different so I'm wondering where i went wrong

Your work all looks correct to me, except that you do not need the trailing 0 in the answer.

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