How much power is developed by a jumbo jet that cruises at 250 m/s. When the trust of its engine is 100,000N?
work = force * distance in direction of force
so
power = work/time = force * speed in direction of force
2.5 * 10^7 Watts
This ignores and interaction between the flow around the plane in free stream and the propulsion system.
To calculate the power developed by a jumbo jet, you need to know both the thrust of its engines and its cruising velocity. Power is the rate at which work is done or energy is transferred. In this case, the power developed by the engines is the rate at which they transfer energy to propel the jet forward.
The formula for power is:
Power = Force × Velocity
In this case, the force is the thrust generated by the engines and the velocity is the speed of the jet. The units of force should be in Newtons (N), and the velocity should be in meters per second (m/s).
Given that the thrust of the engine is 100,000 N and the cruising velocity is 250 m/s, we can calculate the power as follows:
Power = 100,000 N × 250 m/s = 25,000,000 watts or 25 MW (megawatts)
So, the jumbo jet is developing a power of 25 megawatts when cruising at 250 meters per second with an engine thrust of 100,000 Newtons.