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

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SUMMARY

The discussion focuses on calculating the torque and power required to move a car uphill on a 30-degree inclined plane from rest, achieving a specified final velocity within 10 seconds. The force equation derived is f - mgsin(30) = ma, where 'f' represents the applied force, 'm' is the mass of the car, and 'g' is the acceleration due to gravity. The acceleration is calculated using the equation vf = vi + at, leading to a = v/10. The discussion emphasizes the importance of understanding torque and work done in this context.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with the concepts of torque and power
  • Knowledge of inclined plane physics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the relationship between torque and angular acceleration
  • Learn how to calculate work done on an inclined plane
  • Explore the effects of friction on inclined plane motion
  • Investigate the application of kinematic equations in real-world scenarios
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Students in physics, automotive engineers, and anyone interested in mechanics and vehicle dynamics on inclined surfaces.

babol2728
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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
car wheel radius = r
mass of car = m
initial velocity = 0
final velocity = v

Torque = Force x Radius
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:
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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?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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