Pilot averages 190W over distance. Mass, time, power given. find H

In summary, the Gossamer Albatross, a human-powered aircraft, flew across the English Channel in 1979 with an average power of 190 watts. If that power was used to lift a 110 kg mass, the pilot would have done 190 joules of work in 25 seconds. Using the formula W=mgh, the height the mass would be lifted to is approximately 0.5 meters.
  • #1
lolbob07
13
0

Homework Statement


In 1979 the human powered Gossamer Albatross flew across the English Channel. The pedalling pilot averaged 190 W over the distance. If the pilot's power was used to lift a 110 kg mass, to what height would he lift the mass in a time of 25 s?


Homework Equations


P = W/T
W=FxD


The Attempt at a Solution


All I am looking for is the formula to solve this question.
P = 190 J/S
M = 110 kg
Time = 25 s

How to find the height?
 
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  • #2
How much work would he have done during this period?
Lifting a mass up ... what happens to its energy?
 
  • #3
andrevdh said:
How much work would he have done during this period?
Lifting a mass up ... what happens to its energy?

Work = F x D


F=mg
F=110 x 9.8
F=1078 N

But how do we find the distance?
 
  • #4
190 W is a quantity of power. Check out the definition (and units) of power.
 
  • #5
Use the power rating to calculate the amount of work that the pilot will do during the stated period of time.
 
  • #6
Instead of W=FD think about W=mgh
 

Related to Pilot averages 190W over distance. Mass, time, power given. find H

1. What is the formula for calculating power?

The formula for power is P = W/t, where P is power in watts, W is work in joules, and t is time in seconds.

2. How do you calculate the mass of an object?

The mass of an object can be calculated by dividing the weight of the object by the acceleration due to gravity. The formula is m = W/g, where m is mass in kilograms, W is weight in newtons, and g is the acceleration due to gravity (9.8 m/s²).

3. What is the unit of measurement for power?

Power is measured in watts (W), which is equivalent to joules per second.

4. How do you find work given power and time?

To find work, you can multiply power by time. The formula is W = Pt, where W is work in joules, P is power in watts, and t is time in seconds.

5. How do you calculate height (H) using the given information?

To calculate height (H), you can use the formula H = W/P, where H is height in meters, W is work in joules, and P is power in watts. You can also rearrange the formula to find H in terms of mass and time: H = (Wt)/(mg).

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