a fly wheel of mass 66kg and 2m radius makes 55rpm.assuming mass is concentrated at the rim.calculate the angular velocity and moment of inertia
Va=55rev/min * 1min/60s + 6.28rad/rev =
5.76 rad/s.
Correction:
Should be * 6.28rad/rev. NOT + 6.28rad/rev.
To calculate the angular velocity and moment of inertia for the given flywheel, we can use the following formulas:
1. Angular velocity (ω):
ω = (2π * n) / 60
where ω is the angular velocity in radians per second, and n is the rotational speed in revolutions per minute (rpm).
2. Moment of inertia (I):
I = m * r^2
where I is the moment of inertia, m is the mass of the flywheel, and r is the radius of the flywheel.
Given:
Mass of the flywheel (m) = 66 kg
Radius of the flywheel (r) = 2 m
Rotational speed (n) = 55 rpm
1. Calculating the angular velocity:
ω = (2π * n) / 60
ω = (2π * 55) / 60
ω ≈ 5.759 rad/s
Therefore, the angular velocity of the flywheel is approximately 5.759 rad/s.
2. Calculating the moment of inertia:
I = m * r^2
I = 66 * (2^2)
I = 66 * 4
I = 264 kg*m^2
Therefore, the moment of inertia for the given flywheel is 264 kg*m^2.