Sinusoidal water waves are generated in a large ripple tank. The waves travel at 24.7 cm/s and their adjacent crests are 8.19 cm apart. What is the time required for one complete oscillation? Express your answer in seconds, to at least two digits after the decimal point.

A mass of 1.64 Kg is connected to a spring of spring constant 9.02 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.779 m before release and the oscillator moves in air. The oscillation decays to 16.7% of the original amplitude in 63.5 seconds.   a.  What would the position of the oscillation be 29.63 seconds after release?

8. The new blade on my table saw has a radius of 15.0 cm. My table saw has a maximum speed of 3750rpm. If it takes 2.50 seconds to get up to this final speed, what is the tangential velocity of the tip ofthe saw blade, and how many revolutions does it pass through in that amount of time?

A pendulum swings back and forth from a string. When it is lying motionless it is y=6 ft from a nearby wall. When the pendulum is furthest from the wall, it is 9 ft. It takes 20 seconds to complete one cycle. Suppose you start timing the pendulum when it is furthest from the wall.a) Sketch a graph of this situation. b) Write an equation of this sinusoidal.

Waves moving on a pond of water are estimated to have a distance of 1.4 m between crests. If they travel at a velocity of 4.2 m/s, calculate the period of the wave motion. Your Answer: Answer

A mass oscillates on a spring, bouncing up and down 20 times per second. From the highest position to the lowest position of the mass is a distance of 8cm.  A) What is the amplitude of the oscillation? B) What is the frequency? C) What is the period of oscillation? D) How many times will the mass oscillate in 12 seconds?

8. A string on a bass is plucked and oscillates up and down 60 times per second. The amplitude starts out at 0.4cm and decreases by 10% per second. Write an equation for the position, P, of the string as a function of time, t. Assume the string starts at its lowest position.

A mass mm at the end of a spring oscillates with a frequency of 0.86 HzHz . When an additional 780 gg mass is added to mm, the frequency is 0.63 HzHz .What is the value of m?

A body oscillates in simple harmonic motion according to the equation:                        x = 5.0 (cos 0.40 t   0.10)        where each term is in mks units (meters, kilograms, seconds). A) What is the period of the      motion in seconds? B) What is the displacement x at t = 2.0 seconds?

The position of a Simple Harmonic Oscillator based on time is given by x-3.8 cos(5o/4.t+π/6) where t is in seconds and x in meters. Find a) maximum speed and b) maximum acceleration, and c) speed and acceleration at t-0 sec.