A model airplane with a mass of 0.748 kg is tethered by a wire so that it flies in a circle 30.2 m in radius. The airplane engine provides a net thrust of 0.806 N perpendicular to the tethering wire.
(b) Find the angular acceleration of the airplane when it is in level flight.
angular acceleration = torque*r/mr^2=24.34(30.2)/(.748kg)(30.2)^2= 1.077 (I keep getting this part wrong. I got the torque right: torque= F*r = .806*30.2 = 24.34
THe error is here:
angaccelearation=torque*r/mr^2
that bold r should not be there.
torque= I*angacceleration.
To find the angular acceleration of the airplane when it is in level flight, you can use the formula: angular acceleration = torque * r / (m * r^2), where torque is the net thrust provided by the engine * the radius, r is the radius of the circle, m is the mass of the airplane.
In this case, torque is calculated correctly as torque = F * r = 0.806 * 30.2 = 24.34 N·m.
Next, plug in the values into the formula:
angular acceleration = torque * r / (m * r^2)
angular acceleration = 24.34 * 30.2 / (0.748 * (30.2)^2)
Now, evaluate the expression:
angular acceleration = 1.077
So, the angular acceleration of the airplane when it is in level flight is 1.077 rad/s^2.
It seems like you are calculating the torque correctly, but there might be an error in the units or in the way the formula is being used to calculate the angular acceleration. Please double-check your calculations and units to ensure accuracy.