A car is in a traffic circle traveling in UCM, using the information on the diagram below find the current velocity of the car? Desmos Calculator V = unit 5.6m/s/s no direction, the answer is a scalar O 9.6m Pick a direction from below WENZEN no direction, the magnitude is zero

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Chapter1: Units, Trigonometry. And Vectors
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**Uniform Circular Motion: Calculating Current Velocity**

**Problem Statement:**

A car is traveling in a traffic circle exhibiting Uniform Circular Motion (UCM). Using the information provided in the diagram, determine the car's current velocity.

**Diagram Explanation:**

1. **Circular Path**: The car travels in a circular path, indicated by a large circle with directional arrows suggesting the path's direction.
2. **Car's Position**: The car is represented by a red rectangle at a particular point on the circle.
3. **Tangential Acceleration**: An orange arrow emerging from the car indicates tangential acceleration of \(5.6 \, \text{m/s}^2\).
4. **Radius**: A green dashed line extends from the car to the circle's center, showing the circle's radius of \(9.6 \, \text{m}\).

**Calculation Prompt:**

Use the Desmos Calculator or any other calculator to find the equation for velocity. Enter the velocity value in the box provided: 

\[ v = \, \_\_\_\_\_ \, \text{units} \]

**Directional Options:**

Choose the correct direction of the velocity from the options given, with arrows pointing in various directions. Options involve:

- No direction, specifying the answer as a scalar.
- No direction, indicating the magnitude is zero.
  
Various vector directions are visually represented to help indicate the velocity's potential path direction in relation to the circular motion of the car.

Use the information about acceleration and the radius to apply formulas associated with Uniform Circular Motion to find the velocity.
Transcribed Image Text:**Uniform Circular Motion: Calculating Current Velocity** **Problem Statement:** A car is traveling in a traffic circle exhibiting Uniform Circular Motion (UCM). Using the information provided in the diagram, determine the car's current velocity. **Diagram Explanation:** 1. **Circular Path**: The car travels in a circular path, indicated by a large circle with directional arrows suggesting the path's direction. 2. **Car's Position**: The car is represented by a red rectangle at a particular point on the circle. 3. **Tangential Acceleration**: An orange arrow emerging from the car indicates tangential acceleration of \(5.6 \, \text{m/s}^2\). 4. **Radius**: A green dashed line extends from the car to the circle's center, showing the circle's radius of \(9.6 \, \text{m}\). **Calculation Prompt:** Use the Desmos Calculator or any other calculator to find the equation for velocity. Enter the velocity value in the box provided: \[ v = \, \_\_\_\_\_ \, \text{units} \] **Directional Options:** Choose the correct direction of the velocity from the options given, with arrows pointing in various directions. Options involve: - No direction, specifying the answer as a scalar. - No direction, indicating the magnitude is zero. Various vector directions are visually represented to help indicate the velocity's potential path direction in relation to the circular motion of the car. Use the information about acceleration and the radius to apply formulas associated with Uniform Circular Motion to find the velocity.
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