- 1(current)
Q. No.Let \(\omega_{1},\omega_{2}\) and \(\omega_{3}\) be the angular speeds of the second hand, minute hand, and hour hand of a smoothly running analog clock, respectively. If \(x_{1},x_{2}\) and \(x_{3}\) are their respective angular distance in \(1~\text{minute}\) then the factor that remains constant \((k)\) is:
1. \(\frac{\omega_1}{x_1}=\frac{\omega_2}{x_2}=\frac{\omega_3}{x_3}={k}\)
2. \(\omega_{1}x_{1}=\omega_{2}x_{2}=\omega_{3}x_{3}={k}\)
3. \(\omega_{1}x_{1}^{2}=\omega_{2}x_{2}^{2}=\omega_{3}x_{3}^{2}={k}\)
4. \(\omega_{1}^{2}x_{1}=\omega_{2}^{2}x_{2}=\omega_{3}^{2}x_{3}={k}\)
1. \(\frac{\omega_1}{x_1}=\frac{\omega_2}{x_2}=\frac{\omega_3}{x_3}={k}\)
2. \(\omega_{1}x_{1}=\omega_{2}x_{2}=\omega_{3}x_{3}={k}\)
3. \(\omega_{1}x_{1}^{2}=\omega_{2}x_{2}^{2}=\omega_{3}x_{3}^{2}={k}\)
4. \(\omega_{1}^{2}x_{1}=\omega_{2}^{2}x_{2}=\omega_{3}^{2}x_{3}={k}\)
Subtopic: Rotational Motion: Kinematics |
55%
Level 3: 35%-60%
NEET - 2024
Hints
The angular acceleration of a body moving along the circumference of a circle is:
| 1. | along the axis of rotation |
| 2. | along the radius, away from the centre |
| 3. | along the radius towards the centre |
| 4. | along the tangent to its position |
Subtopic: Rotational Motion: Kinematics |
52%
Level 3: 35%-60%
NEET - 2023
Hints
The angular speed of a flywheel moving with uniform angular acceleration changes from \(1200\) rpm to \(3120\) rpm in \(16\) s. The angular acceleration in rad/s² is:
| 1. | \(104 \pi\) | 2. | \(2\pi\) |
| 3. | \(4\pi\) | 4. | \(12\pi\) |
Subtopic: Rotational Motion: Kinematics |
75%
Level 2: 60%+
NEET - 2022
Hints
The angular speed of the wheel of a vehicle is increased from \(360~\text{rpm}\) to \(1200~\text{rpm}\) in \(14\) seconds. Its angular acceleration will be:
1. \(2\pi ~\text{rad/s}^2\)
2. \(28\pi ~\text{rad/s}^2\)
3. \(120\pi ~\text{rad/s}^2\)
4. \(1 ~\text{rad/s}^2\)
Subtopic: Rotational Motion: Kinematics |
74%
Level 2: 60%+
NEET - 2020
Hints
Links
A particle starting from rest moves in a circle of radius \(r\). It attains a velocity of \(v_0~\text{m/s}\) on completion of \(n\) rounds. Its angular acceleration will be:
1. \( \dfrac{v_0}{n} ~\text{rad} / \text{s}^2\)
2. \( \dfrac{v_0^2}{2 \pi {nr}^2}~ \text{rad} / \text{s}^2 \)
3. \( \dfrac{v_0^2}{4 \pi {n}{r}^2}~ \text{rad} / \text{s}^2 \)
4. \( \dfrac{v_0^2}{4 \pi {nr}} ~\text{rad} / \text{s}^2 \)
Subtopic: Rotational Motion: Kinematics |
54%
Level 3: 35%-60%
NEET - 2019
Hints
Links
- 1(current)
Q. No.
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