0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# Derive the relation between linear and angular velocity,or Derive $$v=rw$$

Solution
Verified by Toppr

#### Consider a body rotating about an axis passing through a point $$O$$and perpendicular to the plane of the paper. Let $$P$$ be the position of a particle inside the body. If the body rotates through an angle $$0$$ in a time interval of $$t$$, the particle at $$P$$ reaches $$P '$$ $$\therefore$$ Linear displacement $$PP' =r \theta$$ $$\therefore$$Linear velocity, $$v=\dfrac{PP'}{t}=\dfrac{r \theta}{t }$$But $$\dfrac{\theta}{t}=\omega$$, the angular velocity$$\therefore$$Linear velocity , $$v=r \omega$$

68
Similar Questions
Q1
Derive the relation between linear and angular velocity,or Derive $$v=rw$$

View Solution
Q2
define angular velocity and derive v=rw in detailed ste by step explanation
View Solution
Q3

Derive a relation between angular momentum, moment of inertia and angular velocity of a rigid body.

View Solution
Q4
Define angular velocity (ω). Derive v=rω
View Solution
Q5
A body of mass $$'m'$$ is moving with a velocity $$'V'$$ about an axis at a distance of $$T$$ from the axis.
1. How is its linear velocity related with angular velocity?
2.Derive the relation connecting torque and angular momentum.
View Solution