Two identical flywheels with radius 1.00 m are fixed in place on a table and spinning side-by-side, each spinning about their center as shown. Wheel A is initially spinning in the clockwise direction, and has initial angular velocity of ,40 = -16.0 rad/s, with O40 = 0 rad, and a constant angular acceleration a = 1.90 rad/s². Wheel B is initially spinning in the counter-clockwise direction, and has initial angular velocity Wgo = 16 rad/s, with @go = 0 rad, and has angular acceleration a = -1.85 rad/s² – 5.33t rad/s² + 1.021² rad/st. в a) If assume the center of mass of the sensors is 5.00 cm inward from the outer edge of the wheel, then what is the net translational acceleration acting on the sensor attached to wheel B at t=6.00 s? What angle does this acceleration vector make with the radial direction?

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**Text Transcription for Educational Website:**

Two identical flywheels with radius 1.00 m are fixed in place on a table and spinning side-by-side, each spinning about their center as shown. Wheel A is initially spinning in the clockwise direction, and has initial angular velocity of ω₀A = -16.0 rad/s, with θ₀A = 0 rad, and a constant angular acceleration α = 1.90 rad/s². Wheel B is initially spinning in the counter-clockwise direction, and has initial angular velocity ω₀B = 16 rad/s, with θ₀B = 0 rad, and has angular acceleration α = -1.85 rad/s² - 5.33t rad/s³ + 1.02t² rad/s⁴.

Diagram Description:
- The diagram displays two circles labeled A and B, representing the flywheels.
- Both circles show a center point connected by a string to a sensor on the perimeter.
- Arrows on each circle indicate the direction of rotation: clockwise for wheel A and counter-clockwise for wheel B.

**Question:**
a) If we assume the center of mass of the sensors is 5.00 cm inward from the outer edge of the wheel, what is the net translational acceleration acting on the sensor attached to wheel B at t = 6.00 s? What angle does this acceleration vector make with the radial direction?
Transcribed Image Text:**Text Transcription for Educational Website:** Two identical flywheels with radius 1.00 m are fixed in place on a table and spinning side-by-side, each spinning about their center as shown. Wheel A is initially spinning in the clockwise direction, and has initial angular velocity of ω₀A = -16.0 rad/s, with θ₀A = 0 rad, and a constant angular acceleration α = 1.90 rad/s². Wheel B is initially spinning in the counter-clockwise direction, and has initial angular velocity ω₀B = 16 rad/s, with θ₀B = 0 rad, and has angular acceleration α = -1.85 rad/s² - 5.33t rad/s³ + 1.02t² rad/s⁴. Diagram Description: - The diagram displays two circles labeled A and B, representing the flywheels. - Both circles show a center point connected by a string to a sensor on the perimeter. - Arrows on each circle indicate the direction of rotation: clockwise for wheel A and counter-clockwise for wheel B. **Question:** a) If we assume the center of mass of the sensors is 5.00 cm inward from the outer edge of the wheel, what is the net translational acceleration acting on the sensor attached to wheel B at t = 6.00 s? What angle does this acceleration vector make with the radial direction?
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