Question

Consider a bicycle wheel with a radius of 30 cm and 16 spokes that is mounted with its axle fixed in a horizontal position. A 50-g mass is hung from a string wrapped around the periphery of the tire. The wheel is held stationary with the weight hanging as shown and then released. The wheel starts to spin and spins faster and faster until the string slips off 5 seconds after release.

Answer 1

what is the question you want to be answered?

Answer 2

ok so u need to find what t is

Answer 3

yes
and i included the screenshots

Answer 4

@imqwerty

Answer 5

What you can imagine here is that the tension in the string causes a torque to act on the wheel which will give it angular acceleration. And theres a relationship between this angular acceleration and the linear acceleration of the suspended mass.

You're going to need these equations:

Torque = I*alpha
F = ma
T.r = Torque
a = r*alpha
mg - T = ma
alpha = \((\omega_2 - \omega_1)/(t_2 - t_1)\)

Also, the wheel has 16 spokes that cover \(2\pi\) radians. So x number of spokes cover \(2\pi x/16\) radians.