It has been suggested that rotating cylinders about 16.5 mi long and 5.56 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?

It has been suggested that rotating cylinders about 16.5 mi long and 5.56 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...

See similar textbooks

Related questions

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular…

A: a) The expression for find centripetal acceleration is ac=v2r=ωr2r=ω2r Insert values in the above…

Q: 8. A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular…

Q: It has been suggested that rotating cylinders about 11.0 mi long and 5.92 mi in diameter be placed…

A: Given: Length of cylinder, L=11 mi = 17702.784 m Diameter of cylinder, d=5.92 mi = 9527.316 m To…

Q: It has been suggested that rotating cylinders about 17.5 mi long and 6.12 mi in diameter be placed…

Q: It has been suggested that rotating cylinders about 12.5 mi long and 3.58 mi in diameter be placed…

Q: It has been suggested that rotating cylinders about 16.5 mi long and 4.65 mi in diameter be placed…

A: Given data The length of the cylinder is l = 16.5 mi. The diameter of the cylinder is d = 4.65 mi =…

Q: It has been suggested that rotating cylinders about 20.0 mi long and 3.53 mi in diameter be placed…

A: It is given that, l=20 mi=32186.9 md=3.53 mir=d2=3.532=1.765 mi=2840.4922 m

Q: It has been suggested that rotating cylinders about 18.0 mi long and 4.18 mi in diameter be placed…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: knowing that the moon orbiting earth in one month (30 days), what is the angular speed of moon in…

A: The moon orbiting around the earth in one time period of 1 month = 30 days

Q: Geosynchronous communication satellites remain directly above a single location on the Earth’s…

A: Given: Orbital period T of geosynchronous satellite is 24 hours. The mass of the Earth MEarthis…

Q: If planet Earth has a radius of 6,378 X106m, how much is the tangential speed of a person located at…

A: Radius of earth (R)=6.378×106 m Mass of the person (m)=62.7 kg Time period of earth's rotation…

Q: A 80.0 kg passenger is seated 12 m from the center of the loop of a roller coaster. What…

Q: Geosynchronous communication satellites remain directly above a single location on the Earth's…

Q: It has been suggested that if humans are to travel to the nearest star systems, that rotating…

Q: A proposed space station includes living quarters in a circular ring 63.7 m in diameter. At what…

A: Given data: Diameter of circular ring is, D= 63.7 m Radius is, R= 31.85 m Acceleration due to…

Q: 4.15 PQ For a rotating body, is the acceleration toward the center of rotation a centripetal or…

A: Answer:- Centripetal acceleration :- The acceleration of a body traversing in a circular path.…

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular…

A: mass of child = 50 kg Radius = 2.85 m w ( angular speed) = 3.9 rad/sec

Q: A .38 kg mass tied to the end of a 0.3m long string is pulled in a circle by If it is moving with an…

A: Given:- Mass m= 0.38 kg The length of the string L = 0.3 m The angular speed ω= 9.3 rad/sec…

Q: The circular blade of a table saw is 50 cm in diameter and spins at 50 rpm.How long must it rotate…

A: Given data :- diameter d = 50 cm radius r = 25 cm = 0.25 m frequency n = 50 rpm = 50 round per…

Q: It has been suggested that rotating cylinders about 15.0 mi long and 5.89 mi in diameter be placed…

A: Given, l= 15mi =15*1609m = 24135 m d= 5.89mi = 5.89*1609m =9477.01 m Where, l is the length of the…

Q: It has been suggested that rotating cylinders about 14.0 mi long and 3.91 mi in diameter be placed…

A: For free fall centripetal acceleration is gravitational acceleration. The expression for the angular…

Q: Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor…

A: Given that a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor…

Q: A bicycle wheel of radius 40.0 cm and angular velocity of 10.0 rad/s starts accelerating at 80.0…

A: centripetal acceleration = R w2 where R is the radius w is the angular speed = 0.4 * (10*10) = 0.4…

Q: Europa's orbit around Jupiter is nearly circular and has a period of 3.551 days. Assume Europa is…

A: The period or revolution of Europa around Jupiter is The angular speed of moon is

Q: It has been suggested that rotating cylinders about 18.0 mi long and 4.49 mi in diameter be placed…

A: Given data The length of the rotating cylinder is given as L = 18 miles. The diameter of the…

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular…

Q: An automobile with 0.320 m radius tires travels 60,000 km before wearing them out. How many…

A: The circumference of the circle is,

Q: It has been suggested that rotating cylinders about 13.0 mi long and 4.81 mi in diameter be placed…

Q: It has been suggested that rotating cylinders about 18.5 mi long and 4.40 mi in diameter be placed…

A: AIM: To determine the angular speed of the cylinder such that, the centripetal acceleration is equal…

Q: It has been suggested that rotating cylinders about 18.5 mi long and 4.60 mi in diameter be placed…

Q: A toy car of mass 9.5 kg is moving in a circular path (9m In diameter) at a tangential velocity of 9…

Q: It has been suggested that rotating cylinders about 18.5 mi long and 5.52 mi in diameter be placed…

Q: It has been suggested that rotating cylinders about 10.5 mi long and 3.54 mi in diameter be placed…

A: When in space the centripetal force on the cylinder will be equal to the gravitational force on the…

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.90 m, rotating with an angular…

A: Given : mass m = 50 kg radius r = 2.90 angular speed ω= 3.65 rad/si…

Q: A motorcyclist is driving across a convex broken bridge at the top, whose radius of curvature is 120…

Q: An object moves in a circle. If the mass is tripled, the speed halved and the radius unchanged then…

A: When a body experiences a circular motion, it experiences a centripetal force towards center.…

Q: It has been suggested that rotating cylinders about 11.0 mi long and 3.63 mi in diameter be placed…

A: The length of a cylinder is, L=11 mi=11 mi×1609.34 m1 mi=17702.74 m The radius of a cylinder is,…

Q: A point mass of O.37 kg is set to rotate about a fixed axis 0.74 m away. The mass is initially at…

A: Here, Now, the angular velocity is

Q: It has been suggested that rotating cylinders about 10.5 mi long and 6.32 mi in diameter be placed…

A: The expression for the linear acceleration in terms of angular velocity is,

Q: Where on the Earth's surface is the centrifugal acceleration due to its rotation the least? Why?

A: Centrifugal force is a fictitious force that appears to act on an object in when its motion is…

Q: knowing that the moon orbiting earth in one month (30 days), what is the angular speed of moon in…

A: Option C is the right answer

Q: t has been suggested that rotating cylinders about 16.0 mi long and 5.06 mi in diameter be placed in…

A: The length of the cylinder is l = 16 miles. The diameter of the cylinder is d = 5.06 miles. The…

Q: How fast (in rpm) must a centrifuge rotate if a particle 8.50 cm from the axis of rotation is to…

A: Given:Radius of rotation, r = 8.5 cm = 0.085mAcceleration, a = 120000g m/s2

Q: A new discovered asteroid were observed by astrophysicist. It is said to be moving along a circular…

A: Given that asteroid is moving in a circular path of diameter 600 km. hence, radius which is denoted…

Q: It has been suggested that rotating cylinders about 13.0 mi long and 6.42 mi in diameter be placed…

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

Q: It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Suppose a piece of dust has fallen on a CD. If the spin rate of the CD is 500 rpm, and the piece of dust is 4.3 cm from the center, what is the total distance traveled by the dust in 3 minutes? (Ignore accelerations due to getting the CD rotating.)
In circular motion, a tangential acceleration can change the magnitude of the velocity but not its direction. Explain your answer.
A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.
An ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?
A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its path. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration?
The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 8.00 s, at which time it is turning at 5.00 rev/s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn while it is in motion?
It has been suggested that rotating cylinders about 13.0 mi long and 6.42 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? (in rad/s)
It has been suggested that rotating cylinders about 17.0 mi long and 4.55 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? answer in rad/s
It has been suggested that rotating cylinders about 17.5 mi long and 6.12 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? find rad/s
A tetherball swings in a horizontal circle. If the radius of the swing is increased 9 times but the tangential speed remains the same, by what factor does the centripetal force change?
. A 80 Kg man rides a spinning amusement park ride that has a radius of 10.8 m. If the person's tangential speed is 12.7 m/s, what is the magnitude of the centripetal force acting on the man?