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Sia ? 4 years, 6 months ago

  Linear Velocity Angular Velocity

Definition

We define the linear velocity as the rate of change of the linear displacement.

We define the angular velocity as the rate of change of angular displacement.

Key Differences

  • In a circular motion, the linear velocity of a particle is along the circumference of a circle. 

  • It is different at different points on the circle.

  • The angular velocity of a particle is along the axis of a circle.

  • It remains the same throughout the circular motion.

Symbol

The symbol for the linear velocity is v.

The symbol for angular velocity is a Greek letter, i.e., ω (pronounced as omega).

Formula

v = ΔSΔt = 2πrt ω = ΔθΔt = 2πrt

Quantity

It is a vector quantity that implies it has both magnitude & direction.

It is an axial vector. Its because the direction of the displacement of the particle is along the axis of the circle.

Measuring Unit

We measure the linear velocity in m/s.

We measure the angular velocity in both degrees and radians.
A degree is a dimensionless unit.
Radian is an SI unit.

Real-life Example

If your office is at 150 km distance from your home, then your car will acquire a linear velocity.

 
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Ayush Meena 8 years, 3 months ago

From Newton's second law first law and third
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Addya Sharma 8 years, 3 months ago

Vector is that quantity which has magnitude as well as direction..ex displacement
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Merra Goel 8 years, 3 months ago

If the distance is 0 than the displacement is 0
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Aditya Kumar 4 years, 11 months ago

a body rolled on ice with velocity of 8m/s and comes to rest after travelling 4m compute coefficient of friction
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Amar Kumar 8 years, 3 months ago

Reductionism is breaking down of a complex system in to simple constituent systems to so that laws of physics can be applied on these systems and we can understand the working of the complex system.

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Amar Kumar 8 years, 3 months ago

An elastic collision is a collision in which there is no net loss in kinetic energy in the system as a result of the collision. Both momentum and kinetic energy are conserved quantities in elastic collisions.

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Rahul Sharma 7 years, 11 months ago

The absolute units of force don’t depend upon the value of acceleration due to gravity, so they remain the same throughout the universe. But the gravitational unit of force depend upon the value of ‘g’ which is different at different places.

Amar Kumar 8 years, 3 months ago

The absolute units of force doesn't depend upon the value of acceleration due to gravity, so they remain the same throughout the universe. But the gravitational unit of force depend upon the value of 'g' which is different at different places.

The fundamental difference in convention is that in SI, the constant of proportionality is chosen to be 1, so you have: F = ma

In a gravitational system, acceleration is measured in units of g, so you have: F = m (a/g) This allows the same unit to be used for force and for mass.

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Amar Kumar 8 years, 3 months ago

Instantaneous speed  is the scalar quantity speed is the distance travelled with respect to time. It shows how fast an object is moved.

Instantaneous speed is the motion rate of object at a particular time period or moment. If we take an example of a cheetah who is running with speed of 80 miles per hour then it is instantaneous speed because it is shown as in per hour speed.

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Rahul Poddar 8 years, 3 months ago

A.B=A×B , IAI IBI COS○=IAI IBI SIN○ COS○=SIN○, ○=45° angle between them 45°
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Nishtha Hari 8 years, 3 months ago

It means temp in kelvin
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Swarnali Mondal 8 years, 3 months ago

I guess it's [ML^-1T-1]
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Pratham Kochhar 8 years, 3 months ago

MLT^-1
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Pratham Kochhar 8 years, 3 months ago

first law of motion is derived from second law of motion.. we know that F=Ma....... Now F=0 From F=0 ...... a =0 Now in equation... v= u+ at v= u+ (0)t v= u
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