Relationship Between Linear And Angular Motion - Practice Questions & MCQ

Linear Motion

Rotational Motion

I

If linear acceleration =a=0

Then  u = constant 

and s = u t.

If angular acceleration=

Then   w = constant

and 

II

If linear acceleration= a = constant

1. $a=\frac{v-u}{t}$
2. $v=u+a t$
3. $s=u t+\frac{1}{2} a t^2$
4. $s=\frac{v+u}{2} * t$
5. $v^2-u^2=2 a s$
6.

$$
S_n=u+\frac{a}{2}(2 n-1)
$$
 

If angular acceleration=

1. 1. $^\alpha=\frac{\omega_f-\omega_i}{t}$
   2. $\omega_f=\omega_i+\alpha . t$
   3. $\theta=\omega_i \cdot t+\frac{1}{2} \cdot \alpha \cdot t^2$
   4. $\theta=\frac{\omega_f+\omega_i}{2} * t$
   5. $\omega_f^2-\omega_i^2=2 \alpha \theta$
   6. ${ }^{\theta_n}=\omega_i+\frac{\alpha}{2}(2 n-1)$

III

If linear acceleration= a constant

1. 
   1. $v=\frac{d x}{d t}$
   2. $a=\frac{d v}{d t}=\frac{d^2 x}{d t^2}$
   3. $v . d v=a . d s$

If angular acceleration $=\alpha \neq$ constant
1. $\omega=\frac{d \theta}{d t}$
2. $\alpha=\frac{d \omega}{d t}=\frac{d^2 \theta}{d t^2}$
3. $\omega \cdot d \omega=\alpha \cdot d \theta$