What is the Constant Speed of an Elevator with a 14kW Motor and 1100kg Mass?

In summary, the conversation is about finding the constant speed at which an elevator will rise, given that its motor can produce 14kW of power and its mass is 1100kg. The suggested solution in the book is 13m/s, but the calculations done by the person asking for help suggest a speed of 1.29m/s. It is noted that there may be a mistake in the book or a factor of ten missing in the calculations.
  • #1
A.J.
2
0

Homework Statement


The motor of an elevator can produce 14kW of power, its mass is 1100kg. At what constant speed will the elevator rise?

Homework Equations


F=ma
W= Fd
P= w/t
Vav= d/t

The Attempt at a Solution


P= w/t
P= Fd/t
P= F * Vav
V= P/mg = 14000W/(1100Kg*9.8m/s^2)=1.29m/s

The book states the answer is 13m/s. I have no idea how I'm suppose to get this answer, please help. Thanks in advance.
 
Physics news on Phys.org
  • #2
Hmmm, seems like there is a factor of ten missing somewhere. Are you sure you are using all the right values? Perhaps the book is wrong.
 
  • #3
As you've derived, the equation P = Fv is correct, so it looks like a mistake in the book. An elevator going 13 m/s seems a bit fast if floors are approx. 5 meters apart.
 
  • #4
Ok thanks guys.
 

FAQ: What is the Constant Speed of an Elevator with a 14kW Motor and 1100kg Mass?

1. What is the difference between energy and power?

Energy is the capacity of a system to do work, while power is the rate at which energy is transferred or used.

2. How are energy and power related?

Energy and power are closely related, as power is the measure of how quickly energy is being transferred or used. In other words, power is energy per unit of time.

3. What are some types of energy?

There are several types of energy, including kinetic (energy of motion), potential (stored energy), thermal (heat energy), electrical, chemical, and nuclear.

4. How is energy measured?

Energy is typically measured in joules (J) or kilowatt-hours (kWh). Joules are a unit of energy, while kilowatt-hours are a unit of energy over time.

5. What is the role of energy in our daily lives?

Energy plays a crucial role in our daily lives, powering our homes, transportation, and industries. It is also necessary for our bodies to function and for natural processes to occur.

Similar threads

How Fast Will the Elevator Rise with 14kW of Power?
Replies
1
Views
2K
What is the power input of a motor pulling up an elevator?
Replies
3
Views
2K
Find the power needed to accelerate this elevator downward
Replies
4
Views
1K
When is power constant in this scenario?
Replies
25
Views
1K
A Physics 11 Elevator Work/Power Problem
Replies
3
Views
3K
Avg Power in a Rotational Energy/Work Problem
Replies
6
Views
712
Calculate elevator acceleration using mass
Replies
9
Views
4K
Conservation of Energy Problem (Power)
Replies
14
Views
2K
What Is the Car's Speed After Exiting the Mud Patch?
Replies
4
Views
2K
How Much Power is Needed to Move an Elevator at 4.50 m/s?
Replies
11
Views
1K

Hot Threads

Recent Insights

Back
Top