Long-term space missions require some form of artificial gravity to prevent astronauts losing bone mass. One method would be to use a tether to connect a spent booster to the astronauts’ capsule and set the system rotating to provide artificial gravity in the noninertial frame of the capsule. Tests suggest that rotation rates less than 2 rpm are needed to avoid the astronauts experiencing inner-ear problems as they move about. About how long must the tether be, if you need an apparent gravitational field in the capsule of at least half of the earth’s field? (Assume that the capsule and booster have roughly the same mass.) The tether must be about  ______m long.

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: Now we have a rod-shaped space station of length 1017 m and mass 5.55 x 10^6 kg, which can change…

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Q: How does the angular speed on Moonday (?M) compare to the normal angular speed (?E) of the station?

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Q: The spin rate of a CD-ROM varies according to the location on the disc from where data is being…

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Q: Spacecraft could create a type of artificial gravity by spinning fast enough to create a radial…

A: The equation for the magnitude of the radial acceleration is given by,

Q: Now we have a rod-shaped space station of length 1488 m and mass 7.87 x 10^6 kg, which can change…

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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…

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Q: fixed axis 0.69 m away. The mass is initially at rest and undergoes a constant angular acceleration…

A: Given: The Mass(m)= 0.39 kg. The distance (R)= 0.69 m. The angular acceleration α=4.77 rad/s2 The…

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

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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: A pulley (in the form of a uniform disk) with mass Mp and radius Rp is attached to the ceiling in a…

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Q: Now we have a rod-shaped space station of length 682 m and mass 4.04 x 10^6 kg, which can change its…

A: Initial length of the space station, l1=682 m Mass of the space station, m=4.04×106 kg      (mass of…

Q: Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 360 rpm, and the piece…

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Q: A car is accelerating from rest.  There is a 1.6 g pebble stuck in the tread of one of the tires…

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Q: A point mass of 0.44 kg is set to rotate about a fixed axis 0.81 m away. The mass is initially at…

A: The centripetal force is given by F=v2r Here, v is the speed and r is the distance of the point mass…

Q: Mercury is the closest planet to the Sun. has a mass of 3.18 × 1023 kg and an average radius of 2.43…

A: Detailed explanation:A. Acceleration due to gravity on Mercury (gMercury​)The formula to calculate…

Q: Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 29 h by exerting a…

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Q: You have a physics homework set that's due in a few days, so, naturally, you're procrastinating. As…

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Q: Black Panther (mass 85.0 kg) and Supergirl (mass 55.0 kg) are the first superheroes on the trip to…

A: As both, black panther and supergirl are travelling in a spaceship in space, there will be no…

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: At what angular speed should the earth rotate about it axis so that apparent weight of a body on the…

A: To find- Angular length of the day (T)Length of the day (i.e. periodic time T)=?Given…

Q: Hi I am in physics I. Here is the description. A sphere has a mass of 8200 kg and a radius of 90 cm…

A: Given:Mass of sphere = 8200 kgRadius of sphere = 90 cm = .9 mForce applied = 70 N

Q: It has been suggested that rotating cylinders about 20.0 mi long and 5.69 mi in diameter be placed…

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Q: A circular space station has a diameter of 386 m.  Determine the frequency (per minute) with which…

A: The diameter of the space station is, D=386 m. The Earth's gravitational field is, g=10 N/kg = 10…

Q: Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.1 rev/s. If…

A: Given- Angular velocity, ω=1.1 rad/sec  Radius, r = 30 km = 30000 m To find-  Minimum mass so that…

Q: It has been suggested that rotating cylinders about 17.5 mi long and 6.31 mi in diameter be placed…

A:

Q: Now we have a rod-shaped space station of length 1282 m and mass 7.89 x 10^6 kg, which can change…

A: Given Data: Length (L1) = 1282 m.Mass (m) = 7.89×106 kg.Initial rate of rotation (ω1) = 2.90…

Q: If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the…

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Q: Certain neutron stars  (extremely dense stars)  are believed to be rotating at about 3.5 rev/s. If…

A: Given data: The number of revolutions of the neutron star is N=3.5 rev/s. The radius of the…

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

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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…

A:

Q: NASA is planning a space station that will have artificial gravity. The plan is for a 250 m radius.…

A: Recall ar=ω2RAnd V=ωR

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

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Q: It has been suggested that rotating cylinders about 17.5 mi long and 4.73 mi in diameter placed in…

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

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: You have a horizontal grindstone (a disk) that is 95 kg, has a 0.36 m radius, is turning at 86 rpm…

A: The torque due to the frictional force is τ=r×f  =rμN…

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: Astronauts in the International Space Station must work out every day to counteract the effects of…

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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: Humans walk on the inside of the outer edge of the cylinder, which has a diameter of ?=2735 m that…

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Q: Suppose that humans have created a colony outside of our solar system on a planet called Wfirst21.…

A: Time period of satellite = T =23.7 h= 23.7x60x60 sec ⇒2πRv=T   We also have for centripetal force…

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.