Suppose you are standing within the rim of a circular space station, in outer space. The rim revolves around the center of the space station at a speed of 300 (m/s). If the radius of the station is 3,000 (m). 1) Draw and label a diagram for this case. 2) What is the rotational speed of the space station? 3) From the equation a = V^2/r (a = simulated gravity/acceleration), calculat the acceleration (a) at the rim. 4) From the equation Fc [m (V^2)] / r , calculate centripetal force Fc assuming the mass of the station is 5,000 (Kg).

Suppose you are standing within the rim of a circular space station, in outer space. The rim revolves around the center of the space station at a speed of 300 (m/s). If the radius of the station is 3,000 (m). 1) Draw and label a diagram for this case. 2) What is the rotational speed of the space station? 3) From the equation a = V^2/r (a = simulated gravity/acceleration), calculat the acceleration (a) at the rim. 4) From the equation Fc [m (V^2)] / r , calculate centripetal force Fc assuming the mass of the station is 5,000 (Kg).

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section8.1: Describing Rotational Motion

Problem 6SSC

See similar textbooks

Similar questions

Suppose you are standing within the rim of a circular space station, in outer space. The rim revolves around the center of the space station at a speed of 300 (m/s). If the radius of the station is 3,000 (m). 1.) Draw and label a diagram for this case. 2.) What is the rotational speed of the space station? 3.) From the equation a = V^2/r (a = simulated gravity/acceleration), calculate the acceleration (a) at the rim. 4.) From the equation Fc = [m(V^2)]/r, calculate the centripetal force Fc assuming the mass of the station is 5,000(kg).
A car is driving around a circular track of a radius of 100 meters. The car drives a distance of 250 meters. Through what angle did the car rotate around the track? Remember to include units with your answer. A coin is sitting on the edge of a rotating disk. The coin is sitting 0.2 meters from the center of the disk. If the disk spins at a rate of 25.5 rad/s, what is the linear speed of the coin? Remember to include units with your answer.
Phase 1- A CD starts at rest and accelerates smoothly to an angular speed of 4400 rpm (revolutions per minute) in 1.5 s. Phase 2 It then continues at this angular speed for 2 s. (Everyone know that CDs have a diameter of 4.5 in.) 1. If an ant 1 is grasping onto the outer rim of the CD, How far has it traveled? How many revolutions has it under gone? What is the ant's average velocity over the entire 3.5 s interval? What was the centrifugal acceleration on the ant 1? What was ant 1's angular acceleration in phase 1?
Question 1 a) Calculate the linear velocity (in m/s) of the earth’s rotation about its axis if its equatorial radius is 6378 km. b) If ‘N’ is the rotational frequency of an object in revolutions per hour, write the expression for the angular velocity (speed), for this object in revolutions per second in terms of ‘N’. (Express your answer in simplest terms and standard form).
The flight from Kampala to Singapore takes 7.3 hours. What is the plane’s angular velocity relative to the earth’s surface? Give your answer in °/h.
Part A) A newly discovered planet has a mean radius of 5370 km. A vehicle on the planet's surface is moving in the same direction as the planet's rotation, and its speedometer reads 129 km/h. If the angular velocity of the vehicle about the planet's center is 1.53 times as large as the angular velocity of the planet, what is the period of the planet's rotation? I have already found the period of the planet's rotation: 138.6 h. Part B) If the vehicle reverses direction, how fast must it travel (as measured by the speedometer) to have an angular velocity that is equal and opposite to the planet's? I keep getting part B wrong though. Could someone provide a walkthrough so I can see where I'm messing up in part B?
New York is roughly 3000 miles from Seattle. When it is 10:00a.m. in Seattle, it is 1:00 p.m. in New York. Using this information,estimate (a) the rotational speed of the surface of Earth, (b) thecircumference of Earth, and (c) the radius of Earth.
Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg h=554kmA spacecraft is in circular orbit around the Earth at an altitude h. Find the angular speed, tangential speed and period of the motion. Assume that the Earth is perfectly spherical and only force acting to the spacecraft is the gravitational attraction force by the Earth.
Universal Gravitational Constant, G=6,6742867E-11 m3 kg / s2(Note that the exponent is negative)Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and the distance between them is L. Assuming that they are both point masses, Find the angular speed, tangential speeds of the masses m1 and m2, and period of the motion. m1=7,27210x10^12kg m2=3,85280x10^11kg L=6,16500x10^8m
Model the Moon's orbit around the Earth as an ellipse with the Earth at one focus. The Moon's farthest distance (apogee) from the center of the Earth is rA = 4.05 ✕ 108 m, and its closest distance (perigee) is rP = 3.63 ✕ 108 m. (a) Calculate the semimajor axis of the Moon's orbit. (Enter your answer to at least three significant figures.) m(b) How far is the Earth from the center of the Moon's elliptical orbit? m(c) Use a scale such as 1 cm → 108 m to sketch the Earth-Moon system at apogee and at perigee and the Moon's orbit. (Submit a file with a maximum size of 1 MB.)
An 8.79cm diameter floppy disk rotates at its fastest at 470 rpm. Part A: Express the angular velocity of the disk in revolutions per seconds? Part B: What is the time period of this revolution? Use scientific notation for your answer. Part C: What is the linear velocity of a point at the rim of the disk? Part D: What is the angular velocity at the center of the disk? Part E: If the disk took 3.2 sec to spin up to 470 rpm from rest, what was the average angular acceleration? How many revolutions did the disk complete within this time? What is the net displacement? Part F: If you turn off the floppy disk drive and the disk comes to a stop in 6.7 s, what is the average angular acceleration for this period of motion?
The International Space Station has a mass of 440,725 kg and is located 420 km away from the surface of the earth. Earth has a mass of 5.97 x 1024 kg and a radius of 6371 km. How quickly does the ISS travel as it orbits the earth, assuming uniform circular motion? Express your answers in rev/day (for angular velocity) and mph (for tangential velocity). Define ALL variables.