Login or Sign Up

Ask a New Question

A propeller spins at 1880 rev/min.

a. What is its angular velocity in rad/s?
b. What is the angular displacement of the propeller in 2.5 seconds?

a. The angular velocity in rad/s is 31.33 rad/s.

b. The angular displacement of the propeller in 2.5 seconds is 78.33 rad.

Did you know?

Did you know that angular velocity measures the rate at which an object rotates? In the given scenario, the propeller spins at 1880 revolutions per minute. To determine its angular velocity in rad/s, we can convert the revolutions to radians by multiplying it by 2π. So, the angular velocity is 1880 rev/min * 2π rad/rev, which gives us the answer in rad/min. To convert this to rad/s, we divide by 60, giving us the angular velocity in rad/s. Now, let's consider the angular displacement of the propeller in 2.5 seconds. The angular displacement is the change in the propeller's angle or position during a certain time period. This can be calculated using the formula: angular displacement = angular velocity * time. By multiplying the angular velocity in rad/s with the given time of 2.5 seconds, we can find the angular displacement of the propeller.