For uniform circular motion, which quantity below is zero throughout the motion? Instantaneous velocity Tangential acceleration Speed Radial acceleration Tangential velocity Angular velocity
Question
For uniform circular motion, which quantity below is zero throughout the motion? Instantaneous velocity Tangential acceleration Speed Radial acceleration Tangential velocity Angular velocity
Solution 1
In uniform circular motion, the quantity that remains zero throughout the motion is the tangential acceleration.
Here's why:
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Instantaneous Velocity: This is not zero in uniform circular motion. The object is always moving, hence it has a velocity at every instant.
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Tangential Acceleration: This is zero in uniform circular motion. Tangential acceleration occurs when an object's speed along the circular path is changing. But in uniform circular motion, the speed is constant.
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Speed: This is not zero in uniform circular motion. The object is always moving along the circular path, hence it has a speed.
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Radial Acceleration: This is not zero in uniform circular motion. Radial (or centripetal) acceleration is the acceleration of an object moving in a circular path directed towards the center of the path.
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Tangential Velocity: This is not zero in uniform circular motion. The object is always moving along the circular path, hence it has a tangential velocity.
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Angular Velocity: This is not zero in uniform circular motion. The object is moving along a circular path, hence it has an angular velocity.
Solution 2
In uniform circular motion, the quantity that remains zero throughout the motion is the tangential acceleration.
Here's why:
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Instantaneous Velocity: This is not zero because the object is in motion.
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Tangential Acceleration: This is zero because in uniform circular motion, the speed of the object is constant. Tangential acceleration is the rate of change of tangential velocity, so if the speed (and therefore the tangential velocity) is constant, the tangential acceleration is zero.
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Speed: This is not zero because the object is in motion.
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Radial Acceleration: This is not zero because it's the force that keeps the object moving in a circular path.
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Tangential Velocity: This is not zero because the object is in motion.
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Angular Velocity: This is not zero because the object is moving in a circular path, which means it's moving through an angle.
Solution 3
In uniform circular motion, the quantity that remains zero throughout the motion is the tangential acceleration.
Here's why:
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Instantaneous Velocity: This is not zero because the object is in motion. The direction of the velocity changes at every point of the path, but the magnitude (speed) remains constant.
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Tangential Acceleration: This is zero in uniform circular motion. Tangential acceleration occurs when an object's speed along the circular path changes (either increases or decreases). But in uniform circular motion, the speed is constant, so there is no tangential acceleration.
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Speed: This is not zero because the object is moving along the circular path.
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Radial Acceleration: This is not zero. It's also known as centripetal acceleration, and it's always directed towards the center of the circle. It's the reason why the object keeps moving in a circular path.
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Tangential Velocity: This is not zero. It's the velocity of the object along the tangent to the circular path at any point. Its direction changes, but its magnitude (speed) remains constant in uniform circular motion.
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Angular Velocity: This is not zero. It's the rate at which the object moves through an angle. In uniform circular motion, the object moves through equal angles in equal intervals of time, so the angular velocity is constant, not zero.
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