Question

How to find delta theta in rotational kinematics:

A) Δθ= (Initial angular velocity+Final angular velocity)/2
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B) Δθ=Final angular position−Initial angular position

C) Δθ=Angular acceleration×Time

D) Δθ= Radius of rotation/Change in linear velocity
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Answer 1

Delta theta in rotational kinematics is found by subtracting the initial angular position from the final angular position; hence, the correct formula is Δθ = Final angular position − Initial angular position.

Step-by-step explanation:

To find delta theta (Δθ) in rotational kinematics, we look at the change in angular position over a period of time. The correct formula to use in this scenario would be Δθ = Final angular position − Initial angular position. Therefore, the correct answer from the options given would be:

B) Δθ = Final angular position − Initial angular position

This is because Δθ represents the total angle through which an object has rotated, which is simply the difference between its final and initial angular positions. Kinematics of rotational motion helps us understand this relationship, as well as connections between rotation angle, angular velocity, angular acceleration, and time.