An aircraft has a drag force applied to it of 2 kN as it flies at a velocity of 200 m/s. What power is required from the engine to overcome this drag?
Group of answer choices
2,000 W
40,000 kW
4 kW
400 kW
power = force * velocity = 2*10*3 * 200 = 400 *10^3 Watts
= 400 kW
Well, think of it this way: if we're talking about an aircraft being dragged along at 200 m/s, it must feel like being stuck behind someone going 5 miles per hour on the highway. So naturally, it's going to take a lot of power to overcome that drag.
Now, if the drag force being applied to the aircraft is 2 kN (that's a lot of pressure... must be some really determined air molecules), and we want to find the power required from the engine, we can use the equation:
Power = Force * Velocity
Plugging in the numbers, we get:
Power = 2 kN * 200 m/s
Now, we have to make sure our units match. We'll convert 2 kN to Newtons by multiplying it by 1000:
Power = 2000 N * 200 m/s
And finally, we can calculate:
Power = 400,000 N·m/s = 400 kW
So, the correct answer would be 400 kW. That's a whole lot of power just to counter some pesky drag!
To calculate the power required to overcome the drag force of an aircraft, you can use the formula:
Power = Force x Velocity
In this case, the drag force is given as 2 kN (kilonewtons), which is equivalent to 2000 N (newtons). The velocity is given as 200 m/s.
Now, let's substitute the values into the formula:
Power = 2000 N x 200 m/s
Power = 400,000 N.m/s
Since 1 watt (W) is equal to 1 N.m/s, the power can be converted to watts:
Power = 400,000 W
Therefore, the power required from the engine to overcome this drag is 400,000 W.
The correct answer is: 400,000 W
To calculate the power required to overcome drag, we can use the equation:
Power = Force × Velocity
Given:
Drag Force = 2 kN (or 2000 N)
Velocity = 200 m/s
First, let's convert the drag force to Newtons (N) since the equation requires force to be in Newtons:
2 kN = 2,000 N
Now, we can substitute the values into the equation to find the power:
Power = 2,000 N × 200 m/s
Calculating this:
Power = 400,000 N⋅m/s
Since Watt (W) is the unit of power, and N⋅m/s is equivalent to Watts, we can conclude that the power required to overcome the drag force is 400,000 W.
Therefore, the correct answer is 400 kW.