An electric motor of 12 horse power generates an angular velocity of 22 rad/s. What will be the frequency of rotation?
Correct answer: C. 7/2
- A. 20/π
- B. 10/π
- C. 7/2
- D. 7/44
Explanation
Explanation is given below. The frequency of rotation of the electric motor can be calculated using the formula: f = ω/2π where f is the frequency of rotation, ω is the angular velocity, and 2π is the value of the constant pi. Plugging in the values given in the problem, we get: f = 22/2π f ≈ 3.5 Hz Therefore, the frequency of rotation of the electric motor is approximately 3.5 Hz.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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