Given:
• Rotational inertia = 40 kg.m²
,
• Initial angula speed = 10 rev/s
,
• Mass, m = 4 kg
,
• Diameter, d = 1.2 m
Let's find the angular speed of the wheel.
To find the angular speed, apply the formula:
Where wf is the final angular speed
I is the rotational inertia
m is the mass
d = 1.2
Li is the angular momentum.
To find the angular momentum, we have:
Now, to find the final angular speed, wf, plug in values in the first equation and solve for wf:
Therefore, the final angular speed is 55 rad/s.
ANSWER:
1.) 55 rad/s