Question

test information
description: show all you work, including units, on separate paper. follow the \problem solving method\.
this final exam is cumulative and covers material from the entire course.
instructions: from the list of choices, select the one best answer.
multiple attempts not allowed. this test can only be taken once.
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question 41
1.6 points
a wheel rotates through 45.0 radians, what is the angular displacement in revolutions?
○ 71 rev
○ 7.2 rev
○ 280 rev
○ 0.14 rev

Explanation:

Step1: Recall the conversion factor

We know that \( 1 \text{ revolution} = 2\pi \text{ radians} \), so to convert radians to revolutions, we use the formula: \( \text{Revolutions} = \frac{\text{Radians}}{2\pi} \).

Step2: Substitute the given value

Given the angular displacement in radians is \( 45.0 \) radians. Substitute into the formula: \( \text{Revolutions} = \frac{45.0}{2\pi} \).

Step3: Calculate the value

Calculate \( \frac{45.0}{2\pi} \approx \frac{45.0}{6.283} \approx 7.2 \) revolutions.

Answer:

7.2 rev (corresponding to the option "7.2 rev")