Question

An electric fan goes from rest to 1700rpm in 4.7s. What is its angular acceleration ?

Answer 1

Answer on Question #47946 – Physics – Mechanics | Kinematics | Dynamics

1. An electric fan goes from rest to $1700\,\mathrm{rpm}$ in 4.7s. What is its angular acceleration?

where $\omega_1(\omega_0)$ is the finite (the initial) angular velocity.

In the given task, $\omega_1 = 2\pi\nu$, $\omega_1 = 0$.

Thus, $\beta = \frac{2\pi\nu}{t}$.

Let check the dimension: $[\beta] = \frac{s^{-1}}{s} = s^{-2}$.

Let evaluate the quantity: $\beta = \frac{2 \cdot 3.14 \cdot 28.3}{4.7} = 37.8\,s^{-2}$.

Answer: $37.8\,s^{-2}$.

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