A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular acceleration of 4 rad/s around a fixed axis through its center counterclockwise. a. Where is the point that is initially at the bottom of the wheel at t= 15 s? Express your answer as an angle in radians between 0 and 27, relative to the positive x axis. radians b. What is the point's tangential acceleration at this instant? a = m/s?

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Description for Educational Website:**

A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular acceleration of \(4 \, \text{rad/s}^2\) around a fixed axis through its center in a counterclockwise direction.

**Questions:**

a. Where is the point that is initially at the bottom of the wheel at \( t = 15 \, \text{s} \)? Express your answer as an angle in radians between \(0\) and \(2\pi\), relative to the positive \(x\) axis.

\[ \theta_f = \, \_\_\_\_ \, \text{radians} \]

b. What is the point’s tangential acceleration at this instant?

\[ a = \, \_\_\_\_ \, \text{m/s}^2 \]

**Note:** There are no accompanying graphs or diagrams provided in the problem statement.
Transcribed Image Text:**Problem Description for Educational Website:** A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular acceleration of \(4 \, \text{rad/s}^2\) around a fixed axis through its center in a counterclockwise direction. **Questions:** a. Where is the point that is initially at the bottom of the wheel at \( t = 15 \, \text{s} \)? Express your answer as an angle in radians between \(0\) and \(2\pi\), relative to the positive \(x\) axis. \[ \theta_f = \, \_\_\_\_ \, \text{radians} \] b. What is the point’s tangential acceleration at this instant? \[ a = \, \_\_\_\_ \, \text{m/s}^2 \] **Note:** There are no accompanying graphs or diagrams provided in the problem statement.
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