A car wheel rotates at 1200 revolutions per m | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Initial angular velocity $\omega_1 = 1200 \ rpm = \frac{1200 	imes 2\pi}{60} \ rad/s = 40\pi \ rad/s$. Final angular velocity $\omega_2 = 4500 \

Vedclass · Accepted Answer

$1980 \ deg/s^2$

Vedclass · Answer

(D) Initial angular velocity $\omega_1 = 1200 \ rpm = \frac{1200 	imes 2\pi}{60} \ rad/s = 40\pi \ rad/s$. Final angular velocity $\omega_2 = 4500 \ rpm = \frac{4500 	imes 2\pi}{60} \ rad/s = 150\pi \ rad/s$. Time interval $\Delta t = 10 \ s$. Angular acceleration $\alpha = \frac{\omega_2 - \omega_1}{\Delta t} = \frac{150\pi - 40\pi}{10} = \frac{110\pi}{10} = 11\pi \ rad/s^2$. To convert to degrees per second squared $(deg/s^2)$,multiply by $\frac{180}{\pi}$: $\alpha = 11\pi 	imes \frac{180}{\pi} = 11 	imes 180 = 1980 \ deg/s^2$.

$A$ car wheel rotates at $1200$ revolutions per minute. On pressing the accelerator,it rotates at $4500$ revolutions per minute in $10 \ s$. The angular acceleration of the wheel is ...

Similar Questions

$A$ particle performing uniform circular motion of radius $\frac{\pi}{2} \ m$ makes $x$ revolutions in time $t$. Its tangential velocity is

$A$ wheel is at rest. Its angular velocity increases uniformly and becomes $60 \ rad/sec$ after $5 \ sec$. The total angular displacement is ........ $rad$.

$A$ fan rotating with an angular speed of $600 \, rev/min$ comes to rest after $60$ revolutions when switched off. The time taken to come to rest is ........ $(sec)$.

$A$ body rotating with uniform angular acceleration covers $100 \pi \text{ rad}$ in the first $5 \text{ s}$ after the start. Its angular speed at the end of $5 \text{ s}$ (in $\text{rad/s}$) is .........$\pi$.

$A$ particle starting from rest moves along the circumference of a circle of radius $r$ with constant angular acceleration $\alpha$. The magnitude of the average velocity,in the time it completes a small angular displacement $\theta$,is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module