Calculating Power Needed for Roller Coaster

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SUMMARY

The discussion focuses on calculating the power required for a roller coaster ascending from 7m to 90m while traveling a distance of 127m at a velocity of 3.5m/s. The mass of the roller coaster is 2375kg, and it experiences a retarding force of 4225N. The power is calculated using the formula Power = Work/Time, where Work is determined by the product of Force and Displacement. The correct time for the calculation is confirmed to be 36 seconds, leading to the conclusion that additional energy is required for height increases.

PREREQUISITES
  • Understanding of basic physics concepts, specifically power and work
  • Familiarity with the equations of motion and force calculations
  • Knowledge of energy conservation principles in mechanical systems
  • Ability to perform unit conversions and dimensional analysis
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  • Study the principles of energy conservation in roller coasters
  • Learn how to calculate gravitational potential energy changes
  • Explore the effects of friction and retarding forces on motion
  • Investigate advanced power calculations in mechanical systems
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Physics students, mechanical engineers, and anyone involved in the design or analysis of amusement park rides will benefit from this discussion.

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Homework Statement



I have a physics question that deals with power. In this problem it is of a roller coaster moving from 7m above ground to a point that is 90m above the ground.

1. What is the power needed for a roller coaster that needs to move 127m and is moving at a velocity of 3.5m/s? The mass of the vehicle is 2375kg and and retarding force on the train is 4225N.

M= 2375kg
F= I am not sure if it includes the 4225N or if I need to find it another way
D= 127
T=??


Homework Equations



Power= Work/Time
Work= Force * Displacement
Velocity= change in displacement/ time


The Attempt at a Solution


I did 4225*127/ 36.28 but I am not sure if the force is correct or the time...can someone please help!
 
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That is correct if the roller coaster moves along a level track. Yes, the time of 36 seconds is correct.

If the height of the roller coaster increases, that will require additional energy (and therefore additional power).

p.s. welcome to PF :smile:
 

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