Calculate

A bicycle wheel rotates with a frequency of f = 25 Hz. By braking, its rotation is slowed uniformly and the wheel stops after a time of t₀ = 30 s from the start of braking. Calculate the angular deceleration ε and the number of revolutions the wheel makes from the start of braking until it stops.

Final Answer:

Ԑ =  5.236 rad/s²
n =  375

Step-by-step explanation:

$$\begin{gathered} f=25\text{Hz} \\ t=30\text{s} \\ \omega =2\pi \cdot f=2\cdot 3.1416\cdot 25\doteq 157.0796\text{rad/s} \\ Ԑ=\frac{\omega }{t}=\frac{157.0796}{30}=5.236{\text{rad/s}}^2 \end{gathered}$$

$n=\frac{f\cdot t}{2}=\frac{25\cdot 30}{2}=375$

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