Answered: 1. A skyscraper sways back and forth… | bartleby

Related questions

Question

1. A skyscraper sways back and forth due to strong winds on higher altitude. It makes about 9 oscillations for every 60
seconds. Determine the skyscraper's (a) period and (b) frequency.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

2. The length of a simple pendulum is 65.0 cm, and it is released at an angle 6° to the vertical. Calculate а) the period of the oscillation and [ans: 1.62 s] b) the pendulum's bob speed and acceleration when it passes through the lowest point of the swing. [ans: v = 0.26 ms', a = 0 m s²]
1. If a spring has a spring constant of 23.0 N/m² then how much force is required to stretch it 11.0 cm from equilibrium? s Y91909 of a simple harmonic oscillator ever zero? If so, where?
5. A "seconds pendulum" is one that moves through its equilibrium position once each second. (The period of the pendulum is precisely 2 s.) The length of a seconds pendulum is 0.992 7 m at Tokyo, Japan and 0.994 2 m at Cambridge, England. What is the ratio of the free-fall accelerations at these two locations?
3) A small sphere has radius 2cm and mas 60g. It is suspended at equilibrium from a spring with spring 14 w/m! Find how much the sphore shetches the stored in the spring. Constand and Spring the energy ^ i's pulled down an b From equilibrium, the sphere addinord Bem and released so it oscillates. up and down harmonically. Alse conservation of energy to calculate the kinetic energy to the equilibrium height. the sphere when it returns 18
5. Two pendulums of lengths L₁ and L2 and when located at the respective distances R₁ and R₂ from the center of the earth -have periods p₁ and P2. Show that P₁_R₁L₁ R₂√L₂ P2 = Assume that the differential equation of a simple pendulum of length L is LO"+ge = 0, where g = GM/R2 is the gravitational acceleration at the location of the pendulum (at distance R from the center of the earth; M denotes the mass of the earth).
A given mass and spring system oscillates with an amplitude A and a period T. When the amplitude is doubled, when then happens to the period? Be specific 4x, 2x, the same, ½ x, ¼ x, etc Explain
10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below itsequilibrium position. After release, the block makes one complete up-and-down cycle in 2seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? d. Write a function to model the displacement ? (in inches) as a function of the time ? (in seconds) after release. Assume that a displacement above the equilibrium point is positive.e. Find the displacement of the block and direction of movement at ? = 1 sec.
3. The MacKay Bridge over Halifax Harbour is designed to sway in high wind conditions to help absorb shock. If you were to measure the sway of the bridge in an 80 km/hr wind, you would find the following results: At t = Os, the sway = +45 cm (45 cm right) At t = 14s, the sway = -45 cm (45 cm left) a) What is the period of the swaying bridge? The amplitude? b) What is the equation of the sinusoidal axis? c) Construct a table of values and graph demonstrating one full cycle of motion. d) Suppose dampers were added to reduce the sway (but not period) by 50%. Construct a new table of values and graph to demonstrate one full cycle.
3) an air track glider attached to a spring oscillates AP between the 8.00cm mark and the 57.0cm mark A On Din 29.0S, the track. The glider completes 8.00 oscillations Please include units! What is the period of oscillations? What is the frequency of oscillations? What is the angular frequency of oscillations? What is the amplitude? What is the maximum speed of the glide A no alero no ider? m bao da to
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?
1.A hoop is hung on a horizontal nail and undergoes small oscillations, once every 2 seconds. What is the radius of the hoop?
5. A block of mass of 500 grams is attached to a spring of constant k = 400 N/m. The oscillation frequency is 8.00 Hz. Determine (a) the angular frequency, (b) the period, and (c) the force on the spring if its maximum displacement is 8.5 cm.

SEE MORE QUESTIONS