Question

A propeller on a ship has an initial angular velocity of 3.8 rad/s and an

Answer 1

The final angular velocity is 8.6 rad/s

Explanation:

To solve this problem, we can use the equivalent of the suvat equations for the angular motion. In particular, we can use the following equation:

$\omega_f = \omega_i + \alpha t$

where:

$\omega_f$ is the final angular speed

$\omega_i$ is the initial angular speed

$\alpha$ is the angular acceleration

t is the time

For the propeller in this problem, we have:

$\omega_i = 3.8 m/s$ is the initial angular speed

$\alpha=1.6 rad/s^2$ is the angular acceleration

Substituting t = 3.0 s in the equation, we find the final angular velocity:

$\omega_f = (3.8)+(1.6)(3.0)=8.6 rad/s$

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