What happens to acceleration when an object moves in a circle with uniform speed?
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Speed - constant.Velocity - constant magnitude (speed) and ever-changing direction. In fact, direction changes at a constant rate, which gives us…Acceleration - constant, perpendicular to direction of travel, towards the center of the circle.
Some relationships to think about:
Because velocity is changing at a constant rate, acceleration is constant. That’s the definition of acceleration - rate of change of velocity.Because speed is constant, acceleration must be perpendicular to the direction of travel. If acceleration was aimed slightly forward or slightly backward compared to velocity, speed would increasing or decreasing. As it is, only direction of travel changes.
Hope that helps!
Some relationships to think about:
Because velocity is changing at a constant rate, acceleration is constant. That’s the definition of acceleration - rate of change of velocity.Because speed is constant, acceleration must be perpendicular to the direction of travel. If acceleration was aimed slightly forward or slightly backward compared to velocity, speed would increasing or decreasing. As it is, only direction of travel changes.
Hope that helps!
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