The expression  x = 8.80 cos(2.35?t + ?/2)  describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the following? (a) frequency  Hz (b) period  s (c) amplitude  cm

A 52.6 cm-long pendulum takes 2.50 minutes to undergo 104.1 complete oscillation cycles. (a) Compute the pendulum's period (in s). (b) Determine the acceleration due to gravity (in m/s²) at the place where the pendulum is located. m/s²

The displacement of an object is described by this equation, where x is in meters and t is in seconds: x= (0.44 m) cos(5.7t) What is the frequency (Hz) of the oscillating object? Round your answer to 5 decimal places.

A Ferris wheel has a radius of 25 m and its centre is 27 m above the ground. It rotates once every 40 seconds. Sandy gets on the Ferris wheel at its lowest point and then the wheel starts to rotate. a) Determine a sinusoidal equation that gives Sandy's height, h, above the ground as a function of the elapsed time, t, where h is in metres and t is in seconds. b) Determinc the first time, t (in scconds), when Sandy will be 35 m abovc the ground.

The equation of motion for a mass of 4.0 kg on a horizontal spring (a simple harmonic oscillator) is x= (0.50 m)cos[(3.0 rad/s)t] (x is in meters and tis in seconds.) What is the period of this motion? O 2.1s 19 s 4.7 s 0.33 s

Problem #10: A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99748 s. a) What is the acceleration due to gravity at its new location? (report your answer to at least 5 decimal places)

(a) If your heart rate is 150 beats per minute during strenuous exercise, what is the time per beat in units of seconds? T= ✓ s (b) Find the frequency of a tuning fork that takes 0.00275 s to complete one oscillation. f= Hz

A pendulum has a period of 5.8 s.  If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?

Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.5 m with a period of 13 s.  Part A: What is the maximum acceleration of the passengers during this motion? Express your answer using one significant figure. Part B: What fraction is this of g ? Express your answer using one significant figure.

Convert the following to basic SI units or a combination of basic Sl units: