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Questions and Answers
Which of the following is the correct formula for calculating centripetal acceleration?
Which of the following is the correct formula for calculating centripetal acceleration?
- $a = rac{v^2}{r}$ (correct)
- $a = rac{v}{2r}$
- $a = rac{v}{r}$
- $a = rac{v^2}{2r}$
What unit is used to measure angular acceleration?
What unit is used to measure angular acceleration?
- Degrees per second
- Meters per second
- Revolutions per second
- Radians per second (correct)
How is tangential acceleration calculated?
How is tangential acceleration calculated?
- Multiplying tangential velocity by the radius of the circle
- Dividing tangential velocity by the radius of the circle
- Multiplying angular acceleration by the radius of the circle (correct)
- Dividing angular acceleration by the radius of the circle
Which type of acceleration is always directed towards the center of the circle?
Which type of acceleration is always directed towards the center of the circle?
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When does centripetal acceleration become significant?
When does centripetal acceleration become significant?
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What is the relationship between linear acceleration and angular acceleration?
What is the relationship between linear acceleration and angular acceleration?
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Study Notes
- There are three types of acceleration when dealing with objects in circular motion: angular acceleration, tangential acceleration, and centripetal acceleration.
- Angular acceleration is based on linear acceleration and is represented by the symbol alpha, calculated as the change in angular velocity over time.
- Angular acceleration is measured in radians per second, reflecting the angle of change in circular motion.
- Tangential acceleration is directed tangent to the circle and is calculated by multiplying angular acceleration by the radius of the circle.
- In tangential acceleration, meters per second are used instead of radians to convert angular motion to linear motion.
- Centripetal acceleration always points towards the center of the circle and is based on uniform circular motion.
- Centripetal acceleration is calculated by the formula a = v^2 / r, where v is the tangential velocity and r is the radius of the circle.
- Centripetal acceleration is significant in cases where the speed remains constant but the direction of motion changes continuously in circular motion.
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Description
Learn about angular acceleration, tangential acceleration, and centripetal acceleration in circular motion and how they are calculated. Explore the relationship between linear and angular motion in rotating objects.
