QBManager

Rotational Motion

269379 In the above problem, the angular acceleration of the particle at $t = 2 \sec$ is ......... rads $^{- 2}$

1 14

2 16

3 18

4 24

Explanation:

$α = \frac{d ω}{d t} = 6 t + 2 = 12 + 2 = 14 {rads}^{- 2}$

Rotational Motion

269375 The linear velocity of a point on the surface of earth at a latitude of $60^{\circ}$ is

1

\frac{800}{3} m / \sec

2

\frac{800 π}{3} m / \sec

3

800 \times \frac{5}{18} m / \sec

4

\frac{2000 π}{27} m / \sec

Explanation:

$v = r ω; r = R \cos θ; ω = \frac{2 π}{T}$

Rotational Motion

269376 A table fan, rotating at a speed of $2400 rpm$ is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is

1 420

2 280

3 240

4 380

Rotational Motion

269377 The average angular velocity of the seconds hand of a watch if the seconds hand of the watch completes one revolution in 1 minute is

1

\frac{π}{15} {rads}^{- 1}

2

\frac{π}{30}

rads

^{- 1}

3

\frac{π}{45} {rads}^{- 1}

4

\frac{π}{7}

rads

^{- 1}

Explanation:

$ω = \frac{2 π}{60} = \frac{π}{30}$ rads $^{- 1}$

Rotational Motion

269378 The angular displacement of a particle is given by $θ = t^{3} + t^{2} + t + 1$ then, its angular velocity at $t = 2 \sec$ is ......... rads $^{- 1}$

1 27

2 17

3 15

4 16

Explanation:

$θ = t^{3} + t^{2} + t + 1; ω = \frac{d θ}{d t} = 3 t^{2} + 2 t + 1$

Rotational Motion

269379 In the above problem, the angular acceleration of the particle at $t = 2 \sec$ is ......... rads $^{- 2}$

1 14

2 16

3 18

4 24

Explanation:

$α = \frac{d ω}{d t} = 6 t + 2 = 12 + 2 = 14 {rads}^{- 2}$

Rotational Motion

269375 The linear velocity of a point on the surface of earth at a latitude of $60^{\circ}$ is

1

\frac{800}{3} m / \sec

2

\frac{800 π}{3} m / \sec

3

800 \times \frac{5}{18} m / \sec

4

\frac{2000 π}{27} m / \sec

Explanation:

$v = r ω; r = R \cos θ; ω = \frac{2 π}{T}$

Rotational Motion

269376 A table fan, rotating at a speed of $2400 rpm$ is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is

1 420

2 280

3 240

4 380

Rotational Motion

269377 The average angular velocity of the seconds hand of a watch if the seconds hand of the watch completes one revolution in 1 minute is

1

\frac{π}{15} {rads}^{- 1}

2

\frac{π}{30}

rads

^{- 1}

3

\frac{π}{45} {rads}^{- 1}

4

\frac{π}{7}

rads

^{- 1}

Explanation:

$ω = \frac{2 π}{60} = \frac{π}{30}$ rads $^{- 1}$

Rotational Motion

269378 The angular displacement of a particle is given by $θ = t^{3} + t^{2} + t + 1$ then, its angular velocity at $t = 2 \sec$ is ......... rads $^{- 1}$

1 27

2 17

3 15

4 16

Explanation:

$θ = t^{3} + t^{2} + t + 1; ω = \frac{d θ}{d t} = 3 t^{2} + 2 t + 1$

Rotational Motion

269379 In the above problem, the angular acceleration of the particle at $t = 2 \sec$ is ......... rads $^{- 2}$

1 14

2 16

3 18

4 24

Explanation:

$α = \frac{d ω}{d t} = 6 t + 2 = 12 + 2 = 14 {rads}^{- 2}$

Rotational Motion

269375 The linear velocity of a point on the surface of earth at a latitude of $60^{\circ}$ is

1

\frac{800}{3} m / \sec

2

\frac{800 π}{3} m / \sec

3

800 \times \frac{5}{18} m / \sec

4

\frac{2000 π}{27} m / \sec

Explanation:

$v = r ω; r = R \cos θ; ω = \frac{2 π}{T}$

Rotational Motion

269376 A table fan, rotating at a speed of $2400 rpm$ is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is

1 420

2 280

3 240

4 380

Rotational Motion

269377 The average angular velocity of the seconds hand of a watch if the seconds hand of the watch completes one revolution in 1 minute is

1

\frac{π}{15} {rads}^{- 1}

2

\frac{π}{30}

rads

^{- 1}

3

\frac{π}{45} {rads}^{- 1}

4

\frac{π}{7}

rads

^{- 1}

Explanation:

$ω = \frac{2 π}{60} = \frac{π}{30}$ rads $^{- 1}$

Rotational Motion

269378 The angular displacement of a particle is given by $θ = t^{3} + t^{2} + t + 1$ then, its angular velocity at $t = 2 \sec$ is ......... rads $^{- 1}$

1 27

2 17

3 15

4 16

Explanation:

$θ = t^{3} + t^{2} + t + 1; ω = \frac{d θ}{d t} = 3 t^{2} + 2 t + 1$

Rotational Motion

269379 In the above problem, the angular acceleration of the particle at $t = 2 \sec$ is ......... rads $^{- 2}$

1 14

2 16

3 18

4 24

Explanation:

$α = \frac{d ω}{d t} = 6 t + 2 = 12 + 2 = 14 {rads}^{- 2}$

Rotational Motion

269375 The linear velocity of a point on the surface of earth at a latitude of $60^{\circ}$ is

1

\frac{800}{3} m / \sec

2

\frac{800 π}{3} m / \sec

3

800 \times \frac{5}{18} m / \sec

4

\frac{2000 π}{27} m / \sec

Explanation:

$v = r ω; r = R \cos θ; ω = \frac{2 π}{T}$

Rotational Motion

269376 A table fan, rotating at a speed of $2400 rpm$ is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is

1 420

2 280

3 240

4 380

Rotational Motion

269377 The average angular velocity of the seconds hand of a watch if the seconds hand of the watch completes one revolution in 1 minute is

1

\frac{π}{15} {rads}^{- 1}

2

\frac{π}{30}

rads

^{- 1}

3

\frac{π}{45} {rads}^{- 1}

4

\frac{π}{7}

rads

^{- 1}

Explanation:

$ω = \frac{2 π}{60} = \frac{π}{30}$ rads $^{- 1}$

Rotational Motion

269378 The angular displacement of a particle is given by $θ = t^{3} + t^{2} + t + 1$ then, its angular velocity at $t = 2 \sec$ is ......... rads $^{- 1}$

1 27

2 17

3 15

4 16

Explanation:

$θ = t^{3} + t^{2} + t + 1; ω = \frac{d θ}{d t} = 3 t^{2} + 2 t + 1$

Rotational Motion

269379 In the above problem, the angular acceleration of the particle at $t = 2 \sec$ is ......... rads $^{- 2}$

1 14

2 16

3 18

4 24

Explanation:

$α = \frac{d ω}{d t} = 6 t + 2 = 12 + 2 = 14 {rads}^{- 2}$

Rotational Motion

269375 The linear velocity of a point on the surface of earth at a latitude of $60^{\circ}$ is

1

\frac{800}{3} m / \sec

2

\frac{800 π}{3} m / \sec

3

800 \times \frac{5}{18} m / \sec

4

\frac{2000 π}{27} m / \sec

Explanation:

$v = r ω; r = R \cos θ; ω = \frac{2 π}{T}$

Rotational Motion

269376 A table fan, rotating at a speed of $2400 rpm$ is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is

1 420

2 280

3 240

4 380

Rotational Motion

269377 The average angular velocity of the seconds hand of a watch if the seconds hand of the watch completes one revolution in 1 minute is

1

\frac{π}{15} {rads}^{- 1}

2

\frac{π}{30}

rads

^{- 1}

3

\frac{π}{45} {rads}^{- 1}

4

\frac{π}{7}

rads

^{- 1}

Explanation:

$ω = \frac{2 π}{60} = \frac{π}{30}$ rads $^{- 1}$

Rotational Motion

269378 The angular displacement of a particle is given by $θ = t^{3} + t^{2} + t + 1$ then, its angular velocity at $t = 2 \sec$ is ......... rads $^{- 1}$

1 27

2 17

3 15

4 16

Explanation:

$θ = t^{3} + t^{2} + t + 1; ω = \frac{d θ}{d t} = 3 t^{2} + 2 t + 1$

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Question Bank Series

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation: