mass of an aeroplane is 480 quintal it starts from rest and develops a speed of 42ms^-1 just before take off if the length of the runaway is 2 km calculate the power?

Respuesta :

the power of the aeroplane is 889056 W.

What is power?

Power can be defined as the rate at which work is done or power can be defined as the rate at which energy is expanded.

To calculate the power of the aeroplane, first, we need to find the acceleration.

Formula:

v² = u²+2as.............. equation 1

Where:

  • v = Final velocity
  • u = Initial velocity
  • a = acceleration
  • s = distance.

From the question,

Given:

  • v = 42 m/s
  • u = 0 m/s
  • s = 2 km = 2000 m

Substitute these values into equation 1.

  • 42² = 0²+2(2000)(a)

Solve for a

  • 4000a = 1764
  • a = 1764/4000
  • a = 0.441 m/s².

To calculate the power of the aeroplane, we use the formula below.

  • P = mav............ Equation 2

Where:

  • P = Power of the aeroplane
  • a = acceleration
  • m = mass of the aeroplane
  • v = velocity of the aeroplane.

From the question,

Given:

  • m = 480 quintal = (480×100) = 48000 kg
  • a = 0.441 m/s²
  • v = 42 m/s

Substitute these values into equation 2

  • P = 48000(0.441)(42)
  • P = 889056 W.

Hence, the power of the aeroplane is 889056 W.

Learn more about power here: https://brainly.com/question/1199149

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