The dimensional formula for angular velocity is:
- A) M⁻¹L⁻¹T⁰
- B) M⁰L⁻¹T⁻¹
- C) M⁻¹L⁻¹T⁰
- D) M⁰L⁰T⁻¹
The dimensional formula for angular velocity is:
- A) M⁻¹L⁻¹T⁰
- B) M⁰L⁻¹T⁻¹
- C) M⁻¹L⁻¹T⁰
- D) M⁰L⁰T⁻¹
Aniket Singh , 8 Months ago
Grade
11 grade physics others> The dimensional formula for angular veloc...
1 AnswersAskiitians Tutor Team
Angular velocity measures how quickly an object rotates around an axis. To determine its dimensional formula, we need to consider the units involved.
Understanding Angular Velocity
Angular velocity is defined as the rate of change of angular displacement with respect to time. Its standard unit is radians per second (rad/s).
Breaking Down the Dimensions
- Angle: The dimension of angle is dimensionless, represented as M⁰L⁰T⁰.
- Time: The dimension of time is T.
Combining the Dimensions
Since angular velocity is angle per unit time, we can express it as:
Angular Velocity = Angle / Time = M⁰L⁰T⁰ / T = M⁰L⁰T⁻¹
Final Answer
The correct dimensional formula for angular velocity is M⁰L⁰T⁻¹, which corresponds to option D.
Approved Last Activity: 8 Months ago
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