- #1

Northbysouth

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**1.**

A bicycle is placed on a service rack with its wheels hanging free. As part of a bearing test, the front wheel is spun at the rate of N = 59 rev/min. Assume that this rate is constant, and determine the speed v and magnitude a of the acceleration of point A.

I have attached an image of the question.

v = ds/dt = ρ dβ/dt

v = rθ'

I initially tried converting N = 59 rev/min to 6.178466 rad/sec to use in:

v = ds/dt = ρ dβ/dt

but this left me with radians/sec instead of ft/sec.

I suspect that I need to use v = rθ' but I'm not sure how you take the derivative of an angle. Help is appreciated.

A bicycle is placed on a service rack with its wheels hanging free. As part of a bearing test, the front wheel is spun at the rate of N = 59 rev/min. Assume that this rate is constant, and determine the speed v and magnitude a of the acceleration of point A.

I have attached an image of the question.

## Homework Equations

v = ds/dt = ρ dβ/dt

v = rθ'

## The Attempt at a Solution

I initially tried converting N = 59 rev/min to 6.178466 rad/sec to use in:

v = ds/dt = ρ dβ/dt

but this left me with radians/sec instead of ft/sec.

I suspect that I need to use v = rθ' but I'm not sure how you take the derivative of an angle. Help is appreciated.