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March 28, 2024, 09:58:43 pm

Author Topic: (Circ Motion) acceleration methods  (Read 611 times)  Share 

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erucibon

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(Circ Motion) acceleration methods
« on: November 05, 2019, 02:10:05 pm »
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Why does using a vector diagram and the centripetal acceleration formula give different values? (using exact values in both so it isn't rounding errors)
A mass lies on a perfectly smooth horizontal surface and is connected to a 1.2m string. The mass completes 5 rotations per second. Position B differs from Position A by 60 degrees.

Calculating the acceleration using the centripetal acceleration formula with 5 rotations per second as the speed gives 1184ms-2. By calculating the time it takes to move to B (0.033s, exact value is used in acceleration calculation), and then drawing a vector diagram to find change in velocity and then finding acceleration through change in velocity over time, I get 1131ms-2 (using exact values).










Shouldn't the magnitude of centripetal acceleration be the same regardless of whether it is moving from one point to another?