MHT CET 2020 16th October Evening Shift | Circular Motion Question 30 | Physics

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

$$r\left(\frac{2}{\alpha \theta}\right)^2$$

$$r\left(\frac{\alpha \theta}{2}\right)^2$$

$$\rho\left(\frac{\alpha \theta}{2}\right)$$

$$r\left(\frac{\alpha \theta}{2}\right)^{\frac{1}{2}}$$

MHT CET 2020 16th October Evening Shift

MCQ (Single Correct Answer)

-0

A particle of mass $$m$$ is performing UCM along a circle of radius $$r$$. The relation between centripetal acceleration $$a$$ and kinetic energy $$E$$ is given by

$$a=\frac{2 E}{m r}$$

$$a=2 E m$$

$$a=\frac{E}{m r}$$

$$a=\left(\frac{2 E}{m r}\right)^2$$

MHT CET 2020 16th October Morning Shift

MCQ (Single Correct Answer)

-0

In non-uniform circular motion, the ratio of tangential to radial acceleration is ($$r=$$ radius, $$\alpha=$$ angular acceleration and $$v=$$ linear velocity)

$$\frac{r \alpha}{v}$$

$$\frac{v^2}{r a}$$

$$\frac{r \alpha^2}{v^2}$$

$$\frac{r^2 \alpha}{v^2}$$

MHT CET 2020 16th October Morning Shift

MCQ (Single Correct Answer)

-0

A particle is moving in a radius $$R$$ with constant speed $$v$$. The magnitude of average acceleration after half revolution is

$$\frac{2 \pi}{R v^2}$$

$$\frac{2 R}{\pi v}$$

$$\frac{2 v^2}{\pi R}$$

$$\frac{2 V}{\pi R^2}$$

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