Amount of force a motor can make in 35s

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SUMMARY

An electric motor generates 65 kW of power while lifting a loaded elevator 17.5 meters in 35 seconds. To determine the force exerted by the motor, one must utilize the relationship between power, force, and velocity. The relevant equation is Power = Force x Velocity, where velocity can be calculated as distance divided by time. By substituting known values, the force can be derived without needing the mass directly.

PREREQUISITES
  • Understanding of basic physics concepts, specifically Newton's second law (F = m * a).
  • Familiarity with power calculations in physics, particularly the formula Power = Force x Velocity.
  • Knowledge of unit conversions, especially between watts and kilowatts.
  • Ability to manipulate algebraic equations to isolate variables.
NEXT STEPS
  • Study the relationship between power, force, and velocity in physics.
  • Learn how to derive formulas from basic principles, particularly in mechanics.
  • Explore the concept of work done by a force over a distance.
  • Investigate the implications of mass and acceleration in real-world applications.
USEFUL FOR

Students in physics, engineers working with mechanical systems, and anyone interested in understanding the dynamics of electric motors and their applications in lifting mechanisms.

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Homework Statement


An electric motor develops 65kW of power as it lifts a loaded elevator 17.5 m in 35s. How much force does the motor exert?
Acceleration: .5

Homework Equations


F equals mass times acceleration

The Attempt at a Solution


Ok so I tried to find mass but when the equation was m equals N divided m/s(squared) but there isn't a weight there. Also I tried the force equation but I can't do that without mass...
[/B]
 
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PsychoSya said:

Homework Statement


An electric motor develops 65kW of power as it lifts a loaded elevator 17.5 m in 35s. How much force does the motor exert?
Acceleration: .5

Homework Equations


F equals mass times acceleration

The Attempt at a Solution


Ok so I tried to find mass but when the equation was m equals N divided m/s(squared) but there isn't a weight there. Also I tried the force equation but I can't do that without mass...[/B]
Power is measured in units of watts, which is a derived unit in the SI system. You are given a distance traveled by the elevator and a time in which to do this, which suggests a certain velocity for the elevator. Is there a formula for power which you can derive that uses force and velocity. Hint: look at the units of each quantity.
 
PsychoSya said:

Homework Statement


An electric motor develops 65kW of power as it lifts a loaded elevator 17.5 m in 35s. How much force does the motor exert?
Acceleration: .5

Homework Equations


F equals mass times acceleration

The Attempt at a Solution


Ok so I tried to find mass but when the equation was m equals N divided m/s(squared) but there isn't a weight there. Also I tried the force equation but I can't do that without mass...[/B]
Don't be put off by such matters. Just invent an unknown m for the mass and see if you can get enough equations to eliminate it later.
 

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