Solve for Constant Torque: 75g-cm2 to Spin Yo-Yo to 300 rev/min in 1s

AI Thread Summary
To determine the constant torque required for a yo-yo with a moment of inertia of 75.0 g-cm² to reach 300 rev/min in one second from rest, the angular acceleration must first be calculated. The formula used is angular acceleration equals the change in angular velocity divided by time. After calculating the angular acceleration, it is multiplied by the moment of inertia to find the torque. The final answer for the required torque is 2.36 x 10^-4 kg*m²/s². This approach confirms the correct application of physics principles for solving the problem.
reminiscent
Messages
131
Reaction score
2

Homework Statement


A yo-yo has a moment of inertia of 75.0 g-cm2 about its rotation axis. What is the constant torque required to make it spin to 300 rev/min in one second, starting from rest?

Homework Equations


81a69207104f00baaabd6f84cafd15a0.png
= Iα

The Attempt at a Solution


I was thinking since the question is asking for constant torque, angular acceleration would also have to be constant. Therefore, I would just find angular acceleration (using (ω(t) - ω0)/(t2-t1)) then multiply that angular acceleration by the moment of inertia. Is that correct thinking?
 
Physics news on Phys.org
Yes, your thinking is correct. Be careful with the units.
 
What did you get as your answer for this?
 
cat__lover said:
What did you get as your answer for this?
2.36 x 10^-4 kg*m^2/s^2
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Back
Top