An electric circular saw is designed to reach its final angular speed, starting from rest, in 1.16 s. Its average angular acceleration is 375 rad/s2. Obtain its final angular speed.
wf=wi+a*t
solve for wf
a = (Vf - Vo) / t = 3.75 rad/s^2,
(Vf - 0) / 1.16 = 3.75,
Vf / 1.16 = 3.75,
Vf = 1.16 * 3.75 = 4.35 rad/s.
SUCK MU DUCIK
To obtain the final angular speed, we can use the following formula:
Final angular speed (ωf) = Initial angular speed (ωi) + (Average angular acceleration (α) × Time (t))
Here, the initial angular speed is zero since it starts from rest. The average angular acceleration is given as 375 rad/s², and the time taken is given as 1.16 seconds.
Substituting these values into the formula, we get:
Final angular speed (ωf) = 0 + (375 rad/s² × 1.16 s)
Calculating the right side of the equation:
Final angular speed (ωf) = 435 rad/s
Therefore, the final angular speed of the electric circular saw is 435 rad/s.