To calculate the applied torque needed to accelerate the wheel from rest to 1750 rpm in 5.00 s, you would use the formula Torque = Moment of Inertia * Angular Acceleration. By converting the final angular velocity to rad/s and using the provided time, you can calculate the angular acceleration. Once the moment of inertia is given, you can then calculate the torque by multiplying it by the angular acceleration.
To calculate the applied torque needed to accelerate the wheel from rest to 1750 rpm in 5.00 s, we need to use the formula:
Torque = Moment of Inertia * Angular Acceleration
First, we need to determine the angular acceleration. We are given the initial angular velocity (0 rpm) and the final angular velocity (1750 rpm). We need to convert the final angular velocity to rad/s by multiplying it by 2*pi/60:
Final Angular Velocity = 1750 * 2*pi/60 = 183.26 rad/s
Next, we can use the formula for angular acceleration:
Angular Acceleration = (Final Angular Velocity - Initial Angular Velocity) / Time
Angular Acceleration = (183.26 - 0) / 5.00 = 36.65 rad/s^2
Now, we can calculate the torque:
Torque = Moment of Inertia * Angular Acceleration
Since the student's question does not provide the moment of inertia, we cannot provide a specific value for the torque. However, once the moment of inertia is given, the torque can be calculated by multiplying it by the angular acceleration.