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Grade: 11

# What is the relation between angular accelaration and linear accelaration?

4 years ago

## Answers : (8)

prateek
74 Points
like linear speed

4 years ago
prateek
74 Points

linear speed=angular speed x radius
differentitate both sides we get
linear acceleration = angular acceleration x radius
happy to help u
4 years ago
James Joseph
36 Points
The relation is as followsLinear acceleration=radius×angular acceleration        Where radius is the radius in which the body  undergoes circular motionAll the best.

4 years ago
Umakant biswal
5359 Points

@soumya
by the defination of radian measure
so, by that s = r theta
taking a as derivative
v = r omega
and anathor a = r alpha
the linear acceleration of that point is the vector sum of these two perpendicular componenet of the acceleration
HOPE IT CLEARS
ALL THE BEST ..
4 years ago
Abishai M
30 Points
Angular acceleration= radius * linear acceleration BUT THIS IS VALID ONLY WHEN THE BODY PERFORMS PURE ROLLING

3 years ago
Abishai M
30 Points
Sorry for the above answerSlight mistake Linear acceleration = radius *angular acceleration BUT ONLY WHEN IT PERFORMS PURE ROLLING

3 years ago
Anonymous
12 Points
Angular acceleration:-Rate of change of angular velocity which further is the rate of change of the angle thita.Linear acceleration:-The tangential velocity in case of body moving with constant speed in a circle.

3 years ago
Surekha
13 Points
Angular acceleration[α] actually equal to centripetal acceleration.angular acceleration is the rate of change of angular velocity which further is the rate of change of the angle(theta) this is very similar to how the linear acceleration is defined α=d2x/dt2α=d2(theta)/dt2Linear acceleration is F/mAngular acceleration is tau/Itau=Torque, I=moment of inertia(equivalent to mass) Tangential velocity (V) in case of a body moving with constant speed in a circle is same as its ordinary speed. Speed is along the tangent to the circle (path of motion for the body) the magnitude is equal to the rate at which it moves along the circle. Geometrically we can show thatV=rw

3 years ago
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