The angular position of a point on a rotating wheel is given by e - 7.20 + 7.08t? + 2.86t°, where e is in radians and t is in seconds. Att = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t = 8.10 s? (d) Calculate its angular acceleration at t = 1.67 s. (e) Is its angular acceleration constant? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number > > >

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Problem Description for Educational Website:**

The problem deals with the angular motion of a point on a rotating wheel. The angular position θ of this point is defined by the equation:

\[ θ = 7.20 + 7.08t^2 + 2.86t^3 \]

where θ is measured in radians and t in seconds. 

**Questions:**

1. At \( t = 0 \), determine:
   - (a) The point's angular position.
   - (b) The point's angular velocity.

2. Additional Calculations:
   - (c) Find the angular velocity of the point at \( t = 8.10 \, s \).
   - (d) Determine the angular acceleration of the point at \( t = 1.67 \, s \).
   - (e) Assess if the angular acceleration is constant.

**Inputs Required:**

- (a) Enter a number for the angular position and select the appropriate units.
- (b) Enter a number for the angular velocity and select the appropriate units.
- (c) Enter a number for the angular velocity calculated at \( t = 8.10 \, s \) and select the units.
- (d) Enter the angular acceleration at \( t = 1.67 \, s \) and select the units.
- (e) Determine if the angular acceleration is constant and choose the corresponding option.
Transcribed Image Text:**Problem Description for Educational Website:** The problem deals with the angular motion of a point on a rotating wheel. The angular position θ of this point is defined by the equation: \[ θ = 7.20 + 7.08t^2 + 2.86t^3 \] where θ is measured in radians and t in seconds. **Questions:** 1. At \( t = 0 \), determine: - (a) The point's angular position. - (b) The point's angular velocity. 2. Additional Calculations: - (c) Find the angular velocity of the point at \( t = 8.10 \, s \). - (d) Determine the angular acceleration of the point at \( t = 1.67 \, s \). - (e) Assess if the angular acceleration is constant. **Inputs Required:** - (a) Enter a number for the angular position and select the appropriate units. - (b) Enter a number for the angular velocity and select the appropriate units. - (c) Enter a number for the angular velocity calculated at \( t = 8.10 \, s \) and select the units. - (d) Enter the angular acceleration at \( t = 1.67 \, s \) and select the units. - (e) Determine if the angular acceleration is constant and choose the corresponding option.
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