angular momentum has the same unit as
Correct answer: B. linear momentum x time
- A. impulse x distance
- B. linear momentum x time
- C. work x frequency
- D. power x time
Explanation
Angular momentum (L): Angular momentum is a measure of an object's rotational inertia and its rotational velocity. It is calculated using the formula:L = Iωwhere:I is the object's moment of inertia (a measure of its resistance to rotational acceleration)ω is the object's angular velocity (rate of change of angular position)Units of Angular Momentum: The units of moment of inertia (I) are typically kg*m^2. Angular velocity (ω) is measured in radians per second (rad/s). Therefore, the units of angular momentum (L) become:L = (kgm^2) * (rad/s) = **kgm^2/s**Therefore, based on the unit analysis, linear momentum (kg*m/s) x time (s) is the only combination that results in kg*m^2/s, which is the unit of angular momentum.
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