Task 5: A scientist prepares a test tube 10 cm from the axis of rotation in a centrifuge. The centrifuge starts at rest, and every second thereafter, the rotation rate of the centrifuge increases by 400 rpm, up to the maximum of 4000 rpm. Draw a scaled and labeled graph of the centrifugal force (in Newtons) vs. time on a particle of mass 0.01 grams inside the test tube, with data points for each second from 1 to 10. Explain how you know if your graph of force vs. time should be linear or parabolic. Comment: When you prepare your graph, you can save yourself some time by rounding your force calculations to two significant digits.
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.
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