The angular speed of a rotating platform changes from W equals 2.8 rads/S to W equals 6.8 rad/S at a constant rate as a platform moves through an angle 5.5 rad. The platform has a radius of R equals 28 cm w0=2.8rad/s w=6.8rad/s 0=5.5 radians r=28cm calculate the angular acceleration of the platform a in rad per second
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
The angular speed of a rotating platform changes from W equals 2.8 rads/S to W equals 6.8 rad/S at a constant rate as a platform moves through an angle 5.5 rad. The platform has a radius of R equals 28 cm
w0=2.8rad/s
w=6.8rad/s
0=5.5 radians
r=28cm
calculate the
calculate the tangential acceleration, aT in meters per second squared of a point on the surface of the platform at the outer edge
Given,
ωo =2.8rad/s
ω =6.8rad/s
θ=5.5 radians
r=28cm
Platform rotating with constant angular acceleration
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Calculate the final centripetal acceleration in meters per second squared up a Point at the outer edge of the platform.
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