An observant fan at a baseball game notices that the radio commentators have lowered a microphone from their booth to just a few inches above the ground. The microphone is used to pick up sounds from the field and from the fans. The fan also notices that the microphone is slowly swinging back and forth like a simple pendulum. Using her digital watch, she finds that 12 complete oscillations take 60.0s. How high above the field is the radio booth? (Assume the microphone and its cord can be treated as a simple pendulum.)

While waiting for your plane to take off, you suspend your keys from a thread and set the resulting pendulum oscillating. It completes exactly 90 cycles in 1 minute. You repeat the experiment as the plane accelerates down the runway, and now find the pendulum completes exactly 99 cycles in 1 minute. find the acceleration.(m/s^2) I tried the question and the answer is not 4.49 m/s^2

A convenient way of measuring g without having to drop things is to use a pendulum. I took a pendulum of length 112 cm, and found that it oscillated 12 times in 25.34 sec (I really did this!). What value does this suggest for g?

A clock is constructed so that it keeps perfect time when its simple pendulum has a period of exactly 1.000 s. The pendulum bob has length L = 0.2483 m and, instead of keeping perfect time, the clock runs slow by 1.506 minutes per day.   (a) What is the free-fall acceleration (in m/s2) at the clock's location? (Give your answer to at least 3 decimal places.)  ?m/s2 (b) What length of pendulum bob (in m) is required for the clock to keep perfect time? (Give your answer to at least 4 decimal places.)  ?m

A small fly of mass 0.8 g is caught in a spider's web. The web oscillates predominantly with a frequency of 10 Hz. At what frequency (in Hz) would you expect the web to oscillate if an insect of mass 0.5 g were trapped? (What equation can I use to find the frequency at which it ocilates?)

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

Let there be a mass M = 0.5 kg on a spring. a) If we can hang the mass on the spring in a vertical position, how can we measure the spring constant, k, of the spring? Now we use this same spring in the horizontal configuration, assuming the mass slides on a frictionless horizontal surface. b) Assuming we have measured k to be 10 N/m, how many times will the system oscillate in a minute? (assume we displace the mass from equilibrium so that the system oscillates) c) If the mass passes through the equilibrium position with a velocity vo at time t = 0, what is the amplitude of the oscillation? d) Write the equation for the horizontal displacement of the block as a function of time.

A mass on a spring oscillates 43.0 times in 13.2 s. What is the frequency of the oscillation? For the oscillator in Problem 5, how many oscillations would it make in 2.0 s?

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.

Problem 2:  Special sections of roadway are sometimes paved with “rumble strips” to alert inattentive drivers. In a particular case the grooves are spaced L = 0.26 m apart and the depth of each groove is d = 0.35 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 68.6Hz. Refer to the figure, which is not drawn to scale.  Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.85 s. Part (c) With your tire oscillating at a frequency of f = 68.6 Hz and the distance between grooves L = 0.26 m, what is the speed of your car, in kilometers per hour?