# Calculate the amount of torque and power needed on an inclined plane

• babol2728
In summary, to move a car uphill from rest on a 30-degree inclination and reach a certain final velocity in less than 10 seconds, the force equation on the x-plane is f - mgsin(30) = ma, and the resulting acceleration is v/10. The equation vf = vi + at can also be used to determine the force. To calculate the torque, the force equation can be used to determine the magnitude of the force, and then multiplied by the distance between the point of rotation and the point of application of the force. The total work done can be calculated by multiplying the force by the distance traveled. Equations related to torque and power may also be relevant in this scenario.
babol2728
Homework Statement
Calculate the amount of torque and power needed to move a car uphill
from rest on a 30-degree inclination and reach a certain final velocity in time
less than 10 seconds
Relevant Equations
mass of car = m
initial velocity = 0
final velocity = v

Power = Work/time = Force x Velocity = Torque x Angular Velocity
I have calculated the force equation on the x-plane which is f - mgsin(30) - friction force = ma
and from the equation vf = vi + at resulting a = v/10

Last edited:
babol2728 said:
Homework Statement:: Calculate the amount of torque and power needed to move a car uphill
from rest on a 30-degree inclination and reach a certain final velocity in time
less than 10 seconds
Relevant Equations:: State in variables

Calculate the amount of torque and power needed to move a car uphill
from rest on a 30-degree inclination and reach a certain final velocity in time
less than 10 seconds
Per forum rules (Homework Help Guidelines for Students and Helpers) you must show some attempt.
Please also try to complete the Relevant Equations section. What equations have you been taught in connection with torque and power?

haruspex said:
Per forum rules (Homework Help Guidelines for Students and Helpers) you must show some attempt.
Please also try to complete the Relevant Equations section. What equations have you been taught in connection with torque and power?
I have corrected my post

babol2728 said:
I have calculated the force equation on the x-plane which is f - mgsin(30) - friction force = ma
and from the equation vf = vi + at resulting a = v/10
You are not told anything about friction, so ignore that.
From the above you can get an expression for the force. What torque does that lead to?
What total work is done?

## 1. How do I calculate the torque needed on an inclined plane?

To calculate the torque needed on an inclined plane, you will need to know the weight of the object, the angle of the incline, and the distance from the pivot point to the object. The formula for torque is torque = force x distance, so you will need to calculate the force exerted by the object on the incline using the weight and angle, and then multiply it by the distance from the pivot point.

## 2. What is the formula for calculating power on an inclined plane?

The formula for calculating power on an inclined plane is power = (force x distance)/time. This formula takes into account the amount of force needed to move the object up the incline, the distance it travels, and the time it takes to do so.

## 3. How does the angle of the incline affect the amount of torque and power needed?

The angle of the incline directly affects the amount of torque and power needed. As the angle increases, the force needed to move the object up the incline also increases, resulting in a higher torque and power requirement.

## 4. Can I use the same formula for both torque and power on an inclined plane?

No, the formulas for calculating torque and power on an inclined plane are different. Torque is calculated using the formula torque = force x distance, while power is calculated using the formula power = (force x distance)/time.

## 5. Are there any other factors that can affect the amount of torque and power needed on an inclined plane?

Yes, there are other factors that can affect the amount of torque and power needed on an inclined plane. These include the weight and shape of the object, the surface of the incline, and any external forces such as friction or air resistance.

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