Torsional Pendulum
A thin metal disk of mass m=2.00x10^-3kg and radius R=2.20cm is attached at its center to a long fiber. When the disk is turned from the relaxed state through a small angle , the torque exerted by the fiber on the disk is proportional to theta :
T(torque)= - k theta
The constant of proportionality k is called the "torsional constant" and is a property of the fiber.
1:Find an expression for the torsional constant k in terms of the moment of inertia I of the disk and the angular frequency w of small, free oscillations.
Express your answer in terms of some or all of the variables I and w.
k=___
2:The disk, when twisted and released, oscillates with a period T of 1.00 s. Find the torsional constant k of the fiber.
Give your numerical answer for the torsional constant to an accuracy of three significant figures.
k=__ N.m/radian
Thank you anyone who helps with this I will choose a best answer
A thin metal disk of mass m=2.00x10^-3kg and radius R=2.20cm is attached at its center to a long fiber. When the disk is turned from the relaxed state through a small angle , the torque exerted by the fiber on the disk is proportional to theta :
T(torque)= - k theta
The constant of proportionality k is called the "torsional constant" and is a property of the fiber.
1:Find an expression for the torsional constant k in terms of the moment of inertia I of the disk and the angular frequency w of small, free oscillations.
Express your answer in terms of some or all of the variables I and w.
k=___
2:The disk, when twisted and released, oscillates with a period T of 1.00 s. Find the torsional constant k of the fiber.
Give your numerical answer for the torsional constant to an accuracy of three significant figures.
k=__ N.m/radian
Thank you anyone who helps with this I will choose a best answer