suggest an example to justify that an object can possess acceleration even if it is moving with a constant speed
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✔✔a body can definitely have acceleration if it is moving with constant speed.
➡As speed is a scalar quantity, direction of movement doesn’t affect it. But acceleration is a vector quantity as it is the rate of change of velocity which is itself a vector quantity.
➡So, take uniform circular motion as example,
It’s speed is constant but it has varying velocity as it changes it’s direction so there is always a acceleration acting towards centre which is provided by centripetal force.
✔✔ If we go for complete explanation....
➡consider an object moving in a circle of radius rr at a constant speed vv. The velocities v1 and v2 at two locations are shown in the picture below.
The speeds at the two locations are the same. This is indicated in the picture as v=|v1|=|v2|. The distance traveled along the circle is Δs=vΔt and the angle in radians subtended by the arc Δs is Δθ. To the right of the circle in the picture is a vector subtraction diagram showing the vector Δv=v2−v1Δ. The triangle made by the chord cc and the two radial lines is similar to the triangle made by ΔvΔv and the two velocity vectors v1 and v2.
➡ Therefore,
c/r = |∆V| /v
➡For a very short interval of time, Δt, the angle Δθ is very small, and the length of the chord is approximately the same as the length of the arc subtended by Δθ, i.e., c≈Δs. The average acceleration over the time interval Δt is shown in the picture as aavgaavg. The instantaneous acceleration, aa, is the limit of the average acceleration as the time interval decreases toward 0. The magnitude of the instantaneous acceleration, a=|a|, is shown in the last equation in the lower right of the picture. The direction of the instantaneous acceleration is toward the center of the circle, and is called the centripetal acceleration.
__________________________________
hope it helps you!!☺☺
_________________________________
here's your answer!!☺☺⬇⬇
✔✔a body can definitely have acceleration if it is moving with constant speed.
➡As speed is a scalar quantity, direction of movement doesn’t affect it. But acceleration is a vector quantity as it is the rate of change of velocity which is itself a vector quantity.
➡So, take uniform circular motion as example,
It’s speed is constant but it has varying velocity as it changes it’s direction so there is always a acceleration acting towards centre which is provided by centripetal force.
✔✔ If we go for complete explanation....
➡consider an object moving in a circle of radius rr at a constant speed vv. The velocities v1 and v2 at two locations are shown in the picture below.
The speeds at the two locations are the same. This is indicated in the picture as v=|v1|=|v2|. The distance traveled along the circle is Δs=vΔt and the angle in radians subtended by the arc Δs is Δθ. To the right of the circle in the picture is a vector subtraction diagram showing the vector Δv=v2−v1Δ. The triangle made by the chord cc and the two radial lines is similar to the triangle made by ΔvΔv and the two velocity vectors v1 and v2.
➡ Therefore,
c/r = |∆V| /v
➡For a very short interval of time, Δt, the angle Δθ is very small, and the length of the chord is approximately the same as the length of the arc subtended by Δθ, i.e., c≈Δs. The average acceleration over the time interval Δt is shown in the picture as aavgaavg. The instantaneous acceleration, aa, is the limit of the average acceleration as the time interval decreases toward 0. The magnitude of the instantaneous acceleration, a=|a|, is shown in the last equation in the lower right of the picture. The direction of the instantaneous acceleration is toward the center of the circle, and is called the centripetal acceleration.
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hope it helps you!!☺☺
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Sanskriti101199:
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An object can accelerate while traveling at constant speed but not at constant velocity.
when a body is moving at circular path with constant speed but velocity changes at each point & thus we find that a body is accelerating...
& its speed is constant
not velocity..........
when a body is moving at circular path with constant speed but velocity changes at each point & thus we find that a body is accelerating...
& its speed is constant
not velocity..........
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