Motion in Two Dimension

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What is the time period of the minute hand of a watch?

60 minutes (correct)

12 hours

1 hour

60 seconds

What is the dimension of angular acceleration?

[M L T]^-2

[M L T]^0^-2 (correct)

[M L T]^2

[M L T]^0

What is the direction of the change in velocity vector in uniform circular motion?

Parallel to the circular path

Tangential to the circular path

Perpendicular to the circular path (correct)

Opposite to the direction of motion

What is the angular acceleration of an object in uniform circular motion?

Zero Signup and view all the answers

What is the relation between linear velocity and angular velocity?

v = ωr Signup and view all the answers

What is the time period of an object describing uniform circular motion with frequency n?

T = 2π/n Signup and view all the answers

What is the time period of the second's hand of a watch?

60 seconds Signup and view all the answers

What is the relation between the angular velocity and the velocity of an object in uniform circular motion?

ω = v/r Signup and view all the answers

What is the unit of angular acceleration?

rad/s^2 Signup and view all the answers

What is the dimension of the time period of an object in circular motion?

[M L T] Signup and view all the answers

What is the relation between time period and frequency of revolution?

T = 1/n Signup and view all the answers

What is the direction of centripetal acceleration in uniform circular motion?

Radial, towards the centre of the circular path Signup and view all the answers

What is the expression for angular velocity in terms of time period?

ω = 2 * π / T Signup and view all the answers

What is the expression for centripetal acceleration in terms of angular velocity and radius?

a = ω^2 * r Signup and view all the answers

If two particles are moving on same circle or different coplanar concentric circles in same direction with different uniform angular speeds, what is the angular velocity of B relative to A?

ω_rel = ω_B - ω_A Signup and view all the answers

What is the relationship between the radius of the circular path and the linear speed of a particle in uniform circular motion?

Linear speed is directly proportional to the radius Signup and view all the answers

What is the direction of the centripetal force acting on a particle in circular motion?

Towards the centre of the circular path Signup and view all the answers

Which of the following statements is true about circular motion?

The centre of the circle described by different particles lies on the axis of rotation Signup and view all the answers

What is the significance of centripetal force in circular motion?

It is necessary to maintain circular motion Signup and view all the answers

Which of the following is a characteristic of circular motion of a rigid body?

All particles have the same angular velocity Signup and view all the answers

What is the direction of the centripetal acceleration in relation to the velocity vector of an object undergoing uniform circular motion?

Perpendicular to the velocity vector Signup and view all the answers

If two particles are moving on the same circle or different coplanar concentric circles in the same direction with different uniform angular speeds, what is the direction of the angular velocity of B relative to A?

Same direction as the angular velocity of B Signup and view all the answers

What is the relationship between the angular velocity and the frequency of revolution of an object undergoing uniform circular motion?

ω ∝ n Signup and view all the answers

What is the magnitude of the centripetal acceleration of an object undergoing uniform circular motion?

v^2/r Signup and view all the answers

If an object completes one revolution in 1/n seconds, what is the time period of the object?

n seconds Signup and view all the answers

What is the direction of the change in velocity vector in uniform circular motion relative to the radius vector?

perpendicular to the radius vector Signup and view all the answers

What is the relation between the angular acceleration and the time interval in uniform circular motion?

α ∝ Δt Signup and view all the answers

What is the expression for the angular velocity of an object in uniform circular motion?

ω = Δθ/Δt Signup and view all the answers

What is the relation between the linear velocity and the angular velocity in uniform circular motion?

v = rω Signup and view all the answers

What is the unit of the time period in circular motion?

second Signup and view all the answers