Answer:
0.89534 kgm²
Explanation:
= Final angular velocity = 12.9 rad/s
= Initial angular velocity = 5.5 rad/s
= Initial moment of inertia = 2.1 kgm²
= Final moment of inertia
As there is no external torque the angular momentum is conserved
The final moment of inertia is 0.89534 kgm²
Answer:
23 m/s
Explanation:
First, find the time it takes for the car to fall 40 meters.
y = y₀ + v₀ t + ½ at²
0 = 40 + (0) t + ½ (-9.8) t²
0 = 40 − 4.9 t²
t = 2.89 s
Next, find the velocity needed to travel 65 meters in that time.
x = x₀ + v₀ t + ½ at²
65 = 0 + v₀ (2.89) + ½ (0) (2.89)²
v₀ = 22.75 m/s
Rounding to two significant figures, the car's initial speed was 23 m/s.
(10 seconds) / (2 cycles) = (10/2) (sec/cycle) = 5 seconds.
That's the pendulum's period.
Frequency = 1 / (period) = 1/5 per second = 0.2 Hz.
The ratio of output force to the input force is generally the mechanical advantage of the machine.