Physics Help Forum Number of oscillations executed by an object to be in phase?

 Periodic and Circular Motion Periodic and Circular Motion Physics Help Forum

 Jun 22nd 2014, 09:03 AM #1 Senior Member   Join Date: Jun 2014 Posts: 306 Number of oscillations executed by an object to be in phase? the turntable is rotating at 36.25 rpm. the simple pendulum is performing SHM at 36.00 prm. how many complete oscillations would the pendulum execute so that both are in phase? Attached Thumbnails
 Jun 22nd 2014, 07:01 PM #2 Physics Team     Join Date: Jun 2010 Location: Morristown, NJ USA Posts: 2,344 What you want to determine is how long it takes the fast spinning turntable to complete one more cycle than the slower pendulum. Given that the rate of the turntable is 36.25 RPM, the number of rotations it make in T minutes is 36.25T. Meanwhile the slower pendulum has completed only 36T complete swings. For the faster turntable to "lap" the slower pendulum it must complete one extra cycle in that time T. So: 36.25T = 36T + 1. Solve for T, and from that the number of cycles of the pendulum.
 Jun 25th 2014, 02:29 AM #3 Senior Member   Join Date: Jun 2014 Posts: 306 t=4 , what does it mean?
 Jun 25th 2014, 04:35 AM #4 Physics Team     Join Date: Jun 2010 Location: Morristown, NJ USA Posts: 2,344 It means that the two devices are back in sync at t=4 minutes. Now you need to figure out how many oscillations the pendulum makes in 4 minutes.

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