What is the average angular deceleration of the rear wheel?

In summary, angular deceleration is the measure of an object's rotational velocity decreasing over time. It is different from linear deceleration, which refers to a decrease in an object's linear speed. Angular deceleration can be caused by various factors, and it is measured using instruments such as accelerometers or gyroscopes. It can affect an object's motion by causing it to slow down, change direction, or become unstable.
  • #1
johnojohno
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Homework Statement



A cyclist traveling at 8.8725 mps, brakes coming to a halt in 100m, what is the average angular deceleration of the rear wheel. The diameter of the wheel is 650mm



The Attempt at a Solution



(v² - u²)/2s = a

(0-8.8725²)/2x100 = -0.393 mps
 
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  • #2
.393 is acceleration not angular acceleration

angular acceleration, α = a/r
 

FAQ: What is the average angular deceleration of the rear wheel?

What is angular deceleration?

Angular deceleration is a measure of how quickly an object's rotational velocity decreases over time. It is a vector quantity, meaning it has both magnitude and direction, and is typically expressed in radians per second squared (rad/s²) or degrees per second squared (deg/s²).

How is angular deceleration different from linear deceleration?

Angular deceleration refers to the decrease in an object's rotational speed, while linear deceleration refers to the decrease in an object's linear speed. They are related by the object's radius of rotation, with linear deceleration being equal to the angular deceleration multiplied by the radius.

What causes angular deceleration?

Angular deceleration can be caused by a number of factors, including friction, air resistance, or the application of a braking force. In general, any force that acts to slow down the rotation of an object will result in angular deceleration.

How is angular deceleration measured?

Angular deceleration can be measured using a variety of instruments, such as an accelerometer or a gyroscope. These devices can detect changes in an object's rotational velocity and calculate the angular deceleration based on the change in time.

How does angular deceleration affect an object's motion?

Angular deceleration can cause an object to slow down or come to a stop if it is strong enough. It can also change the direction of an object's rotational motion, causing it to rotate in the opposite direction. In some cases, angular deceleration may cause an object to wobble or become unstable in its rotation.

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