A uniform solid disk with a mass of 32.3 kg and a radius of 0.414 m is free to rotate about a frictionless axle. Forces of 90.0 N and 125 N are applied to the disk.
(a) What is the net torque produced by the two forces? (Assume counterclockwise is the positive direction.)
(b) What is the angular acceleration of the disk?
Net torque= moment of inertia x angular acceleration
Moment of inertia = 0.5(32.3kg)(0.41m)^2
Moment of inertia = 2.76805
I am unsure how to find the angular acceleration to calculate the net torque.
idk
The net torque is the sum of torques.
Torque is force x radial distance, if the force is applied to the outside of the disk, radial distance is radius. In this case you have two forces (torques) to add.
To find the net torque, you need to calculate the torque produced by each force and then add them together. The torque produced by a force is given by the formula torque = force x radius, where the radius is the perpendicular distance from the axis of rotation to the line of action of the force.
For the first force of 90.0 N, the torque can be calculated as torque_1 = force_1 x radius, where force_1 = 90.0 N and radius = 0.414 m. Plug in these values to get the torque produced by force_1.
For the second force of 125 N, the torque can be calculated as torque_2 = force_2 x radius, where force_2 = 125 N and radius = 0.414 m. Plug in these values to get the torque produced by force_2.
Once you have the torques individually, you can find the net torque by adding them together. Net torque = torque_1 + torque_2.
To determine the angular acceleration of the disk, you can use the equation net torque = moment of inertia x angular acceleration. Rearrange the equation to solve for angular acceleration: angular acceleration = net torque / moment of inertia.
Now, substitute the calculated values for net torque and moment of inertia into the equation to find the angular acceleration of the disk.