Question

On takeoff, the propellers on a uav (unmanned aerial vehicle) increase their angular velocity from rest at a rate of = 41.3t rad/s for 3.6 s. (enter the magnitudes.) (a) what is the instantaneous angular velocity (in rad/s) of the propellers at t = 1.9 s?

Answer 1

To find the instantaneous angular velocity of UAV propellers at t = 1.9 seconds, multiply the given rate of change 41.3 rad/s by 1.9, resulting in an angular velocity of 78.47 rad/s.

Step-by-step explanation:

The student has asked about the instantaneous angular velocity of UAV propellers which start from rest and increase their angular velocity at a given rate. To find the instantaneous angular velocity at t = 1.9 s, we simply multiply the time by the rate of angular velocity increase since the UAV starts from rest.

In the provided equation ω = 41.3t rad/s, where ω is the angular velocity and t is the time in seconds, if we substitute t = 1.9 s, we get:

ω = 41.3 × 1.9 = 78.47 rad/s

Therefore, the instantaneous angular velocity at t = 1.9 s is 78.47 rad/s.