An electric circular saw is designed to reach its final angular speed, starting from rest, in 1.50s. Its average angular acceleration is 328 rad/s^2. Obtain its final angular speed.
V = Vo + a*t = 0 + 328*1.5 =
final speed = acceleration * time
To calculate the final angular speed of the electric circular saw, we can use the following equation:
ω = ω₀ + αt
Where:
ω is the final angular speed,
ω₀ is the initial angular speed (which is 0 since it starts from rest),
α is the average angular acceleration, and
t is the time taken to reach the final angular speed.
Substituting the given values into the equation:
ω = 0 + (328 rad/s^2) * (1.50s)
ω = 328 * 1.50
ω = 492 rad/s
Therefore, the final angular speed of the electric circular saw is 492 rad/s.
To obtain the final angular speed of the circular saw, we can use the formula:
ωf = ωi + αt
Where:
ωf is the final angular speed,
ωi is the initial angular speed (which is zero, as the circular saw starts from rest),
α is the average angular acceleration, and
t is the time taken to reach the final angular speed.
Plugging in the given values:
ωf = 0 + 328 rad/s^2 * 1.50s
Calculating the equation, we have:
ωf = 492 rad/s
Therefore, the final angular speed of the electric circular saw is 492 rad/s.