Calculating Horsepower Needed to Lift 150 kg for 20 m in 10 min

In summary, the question asks how much horsepower is needed to lift a 150 kg box up 20 meters in 10 minutes. Using the equations 1 Watt = 1 Joule/sec and 1 Horsepower = 746 Watts, the attempt at a solution yielded a result of 0.065 horsepower. Despite this appearing low, it is correct as answers in physics are not always intuitive. As an example, using the energy consumed by a 100 W bulb for an hour, the amount of energy could potentially lift a 100 lb bundle of shingles to a surprising height.
  • #1
Pao44445
47
0

Homework Statement


Lifting a box (150 kg) up for 20 meters in 10 minutes, how much horsepower needed?

Homework Equations


1 Watts = 1 Joule/sec
1 Horsepower = 746 Watts

The Attempt at a Solution


I've figured this out but I got a very low horsepower :( about 0.065 hp, does it correct?
 
Physics news on Phys.org
  • #2
Pao44445 said:

Homework Statement


Lifting a box (150 kg) up for 20 meters in 10 minutes, how much horsepower needed?

Homework Equations


1 Watts = 1 Joule/sec
1 Horsepower = 746 Watts

The Attempt at a Solution


I've figured this out but I got a very low horsepower :( about 0.065 hp, does it correct?
Sounds about right.
 
  • #3
Answers are not always intuitive.
For instance, using the energy consumed by a 100 W bulb for an hour; to what height (using this energy)
could you raise a 100 lb (about 40 kg) bundle of shingles? The answer might surprise you.
 

1. How is horsepower calculated?

Horsepower is calculated by dividing the work done by an object in a given amount of time by the time it took to do that work. In this case, we would divide the work of lifting 150 kg for 20 m by the time of 10 minutes.

2. What is the formula for calculating horsepower?

The formula for calculating horsepower is: horsepower = (force x distance) / time. In this case, the force would be the weight of 150 kg and the distance would be 20 m.

3. How much horsepower is needed to lift 150 kg for 20 m in 10 minutes?

To calculate the horsepower needed, we would need to first convert 10 minutes to seconds (600 seconds). Then, using the formula above, we would plug in the values and get: horsepower = (150 kg x 20 m) / 600 seconds = 5 horsepower. Therefore, 5 horsepower would be needed to lift 150 kg for 20 m in 10 minutes.

4. Can horsepower be converted to other units of power?

Yes, horsepower can be converted to other units of power such as watts or kilowatts. To convert horsepower to watts, we would multiply the horsepower value by 746. To convert horsepower to kilowatts, we would divide the horsepower value by 1,000.

5. How accurate is the calculated horsepower?

The accuracy of the calculated horsepower depends on the accuracy of the values used in the calculation. If the weight, distance, and time values are precise, then the calculated horsepower should also be precise. However, factors such as friction and inefficiencies in the lifting mechanism may affect the accuracy of the calculated horsepower.

Similar threads

Replies
15
Views
2K
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
Replies
29
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
199
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
6K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
33K
Back
Top