What is not a variable in the equation of angular momentum?a.Massb.Velocityc.Accelerationd.Distance from the axise.All of the abovef.None of the above
Question
What is not a variable in the equation of angular momentum?
a. Mass
b. Velocity
c. Acceleration
d. Distance from the axis
e. All of the above
f. None of the above
Solution
To determine what is not a variable in the equation for angular momentum, let's briefly analyze the components involved in the formulation of angular momentum.
Angular Momentum Basics
The equation for angular momentum (L) is given by:
where:
- is the angular momentum,
- is the distance from the axis of rotation,
- is the linear momentum, which can be expressed as (where is mass and is velocity).
Analysis of Options
- Mass (a): This is a variable because it directly influences linear momentum.
- Velocity (b): This is a variable as it affects the linear momentum.
- Acceleration (c): While acceleration is related to changes in velocity, it does not appear in the angular momentum equation directly.
- Distance from the axis (d): This is a variable as it is a crucial component in calculating angular momentum.
- All of the above: This suggests that all previous options are not variables, which is inaccurate.
- None of the above: This implies that all listed items are variables.
Final Answer
The correct option is c. Acceleration, as it is not a variable in the equation for angular momentum.
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