Answer:
a) Angular frequency, w = 0.0184 rad/s
b) Amplitude of vibration = 245 m
Explanation:
a) Angular frequency, w = 2πf
f = 1/T, T = 5.7 minutes = 5.7 × 60 = 342 s
f = 1/342 = 0.00292 Hz or 0.00292/s
w = 2π (0.00292) = 0.0184 rad/s
b) Amplitude of simple harmonic motion,
displacement of simple harmonic motion, x(t) = A cos (wt-Φ)
A = amplitude
v = dx/dt = - Aw (sin (wt - Φ)
Velocity amplitude of simple harmonic motion = Amplitude × angular frequency
Amplitude = (velocity amplitude)/(angular frequency) = 4.5/0.0184 = 245m
Hope this Helps!!!
Explanation:
The blocks are spinning around the center of mass, but they're also sliding horizontally. So they still have a positive displacement.
Answer:
Yes
Explanation:
But I feel also 2 is correct but your answer is right
Answer:
(A). The rotational momentum of the flywheel is 12.96 kg m²/s.
(B). The rotational speed of sphere is 400 rad/s.
Explanation:
Given that,
Mass of disk = 10 kg
Radius = 9.0 cm
Rotational speed = 320 m/s
(A). We need to calculate the rotational momentum of the flywheel.
Using formula of momentum
Put the value into the formula
(B). Rotation momentum of sphere is same rotational momentum of the flywheel
We need to calculate the magnitude of the rotational speed of sphere
Using formula of rotational momentum
Put the value into the formula
Hence, (A). The rotational momentum of the flywheel is 12.96 kg m²/s.
(B). The rotational speed of sphere is 400 rad/s.
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