- #1

I_Try_Math

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- Homework Statement
- An automobile engine can produce 200 Nm of torque. Calculate the angular acceleration produced if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0-kg disk that has a 0.180-m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180-m and outside radius of 0.320-m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330-m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.

- Relevant Equations
- ## \sum \tau = I\alpha ##

My strategy for this problem is to use the equation, ## \sum \tau = I\alpha ## to find ## \alpha ##.

## I_{total} = I_{shaft} + I_{axle} + 2(I_{wheel}) ##

## I_{wheel} = I_{disk (hub)} + I_{ring (wall)} + I_{ring (treads)} ##

Is this the correct way to calculate the moment of inertia?

## I_{total} = I_{shaft} + I_{axle} + 2(I_{wheel}) ##

## I_{wheel} = I_{disk (hub)} + I_{ring (wall)} + I_{ring (treads)} ##

Is this the correct way to calculate the moment of inertia?