The tiny moon Deimos has a mass of 1.48 x 1015 kg. It orbits Mars in a nearly circular orbit, with a radius of 2.45 x 108 m, and a speed of 1410 m/s. Determine the moment of inertia of Deimos relative to Mars.
Q: A planet orbits a star, in a year of length 2.56 x 107 s, in a nearly circular orbit of radius 2.53…
A: Given, time period of planet, T=2.56×107s radius of orbit in which planet is orbiting, rp=…
Q: A planet orbits a star, in a year of length 2.77 x 107 s, in a nearly circular orbit of radius 3.78…
A:
Q: A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the…
A: Given: Diameter (d) = 4 m Angular speed (wf) = 16 rpm time (t) = 42…
Q: The ability of the human eye to rapidly rotate was studied using contact lenses fitted with…
A: The rate of change of angular displacement is called angular velocity.
Q: A rock tied to the end of string swings at a constant angular rate. You measure the rock to pass…
A: Given data: Angular displacement (θ) = 10π radians Time (t) = 5.30 seconds Length of the string (L)…
Q: The hour hand on a certain clock is 9.7 cm long. Find the tangential speed of the tip of this hand.…
A:
Q: One end of a cord is fixed and a small 0.650-kg object is attached to the other end, where it swings…
A:
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: The coordinate axes shown represent the principal centroidal axes of inertia of a 3000-lb space…
A:
Q: A child of mass 54.3 kg sits on the edge of a merry-go-round with radius 2.2 m and mo- ment of…
A:
Q: A planet orbits a star, in a year of length 3.48 x 107 s, in a nearly circular orbit of radius 1.51…
A:
Q: A planet orbits a star, in a year of length 3.48 x 10's, in a nearly circular orbit of radius 1.51 x…
A: Given data: Time period, T=3.48×107 s Radius of the orbit, R=1.51×1011 m
Q: car is traveling with a speed of 21.0 m/s along a straight horizontal road. The wheels have a radius…
A: Speed of car v = 21 m/s.Radius of wheel R = 0.290 meterLinear acceleration a = 1.40m/s2
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: A 10,000 kg satellite is orbiting planet A, which has a mass of 8.68 x 10^25 kg. The satellite is…
A:
Q: A man-made satellite orbits the earth in a circular orbit that has a radius of 21000 km. The mass of…
A: Radius of orbit,R = 21000 km = 21000 x 103 m R = 21 x 106 mMass of the Earth, M = 5.97 x 1024…
Q: The coordinate axes shown represent the principal centroidal axes of inertia of a 3000-lb space…
A:
Q: The car A has a forward speed of 17 km/h and is accelerating at 3.5 m/s?. Determine the velocity and…
A:
Q: The earth travels around the sun in a circular orbit with a period of 1yr. An asteroid travels…
A: Time taken by earth to complete one rotation around sun (T) = 1 year Time taken by asteroid to…
Q: In order to move the rectangular stones which built the pyramids the ancient Egyptians used a system…
A:
Q: Conceptual Example 2 provides some relevant background for this problem. A jet is circling an…
A:
Q: A cylinder 30.0 cm in diameter is at rest initially. It is then given an angular acceleration of…
A:
Q: The angular position of a rod varies as 23.7t2 radians from time t = 0. The rod has two beads on it…
A:
Q: A compact disk on a CD player rotates clockwise. The disk completes one revolution in 0.332 s. (a)…
A: Given Time taken to complete one revolution t=0.332sDistance of point r=4.73cm=0.0473 m
Q: In lacrosse, a ball is thrown from a net on the end of a stick by rotating the stick and forearm…
A: Given data: Angular velocity (ω) = 1580 degree/sec,its change into radian/sec so,1580 Deg × π/180 =…
Q: A planet orbits a star, in a year of length 3.98 x 107 s, in a nearly circular orbit of radius 2.14…
A:
Q: A 100 kg vehicle enters a flat circular turn of radius 5 m. It is initially traveling at 5 m/s…
A: Given data: The mass of vehicle is m=100 kg. The radius of circle is r=5 m. The initial speed is…
Q: A 234 kg boat is negotiating a circular turn (radius = 33.1 m) around a buoy. During the turn, the…
A: Given data *The mass of the boat is m = 234 kg *The radius of the circular turn is r = 33.1 m *The…
Q: A roller coaster loaded with passengers has a mass of 2 x 103 kg; the radius of curvature of the…
A: mass (m)= 2000 kg tangential speed (v) = 18 m/s Radius of curvature = 24 m
Q: What is the tangential speed of Nairobi, Kenya, a city near the equator? The earth makes one revolu-…
A:
Q: What is the linear speed due to the Earth’s rotation of a point on the Earth (latitude 36.0 N)? The…
A: In a rotating rigid body, the velocity of any point is proportional to its radial distance from the…
Q: A planet orbits a star, in a year of length 4.46 x 10' s, in a nearly circular orbit of radius 2.46…
A: Here,
Q: a year of length 3.58 x 107 s, in a nearly circular orbit of radius 2.02 x 1011 m. With r ar speed…
A:
Q: A point mass of 0.36 kg is set to rotate about a fixed axis 0.72 m away. The mass is initially at…
A: The angular final velocity is,
Q: A horizontal merry-go-round is initially at rest. At t = 0, it is given a constant angular…
A: Given : Mass = m = 23.5 kg Distance from axis of rotation = r = 2.35 m Angular acceleration = α =…
Q: The motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an…
A: Given that, mass of the hula hoop is m=0.72kg and the radius is R=0.65m and the distance from the…
The tiny moon Deimos has a mass of 1.48 x 1015 kg. It orbits Mars in a nearly circular orbit, with a radius of 2.45 x 108 m, and a speed of 1410 m/s. Determine the moment of inertia of Deimos relative to Mars.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- When you start your record player, a ladybug is sitting on the edge of the record, 15 cm from the center. The record, initially at rest at t=0, experiences a constant angular acceleration of 0.698 rad/s for 5 seconds. What is the magnitude of the centripetal acceleration of the ladybug at the moment t = 5 s?A planet orbits a star, in a year of length 2.88 x 107 s, in a nearly circular orbit of radius 1.85 x 10¹¹ m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration.A point mass of O.37 kg is set to rotate about a fixed axis 0.74 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.57 rad/s². At what time will the centripetal force acting on the mass be 55.4 N?
- The platform is rotating about the vertical axis such that at any instant its angular position is 0 = 4t3/2 rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r = 0.1t³ m, where t is in seconds. Determine the magnitude of velocity of the ball (m/s) when t = 2.60 seconds.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.A planet orbits a star, in a year of length 3.95 x 107 s, in a nearly circular orbit of radius 2.19 x 1011 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration. (a) Number Type your answer for part (a) here Units Choose your answer for part (a) here (b) Number Type your answer for part (b) here Units Choose your answer for part (b) here (c) Number Type your answer for part (c) here Units Choose your answer for part (c) here
- A point mass of 0.39 kg is set to rotate about a fixed axis 0.76 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.10 rad/s.At what time centripetal force acting on the mass be 50.8 N?The motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is less than R, the radius of the hoop. Suppose Maria spins a hula hoop with a mass of 0.74 kg and a radius of 0.67 m around her waist. The rotation axis is perpendicular to the plane of the hoop, but approximately 0.45 m from the center of the hoop. (a) What is the rotational inertia of the hoop in this case? 0.45 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. kg. m² (b) If the hula hoop is rotating with an angular speed of 13.3 rad/s, what is its rotational kinetic energy? 0.74 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. JA diver runs horizontally off the end of a diving tower 3.5m above the surface of the water with an initial speed of 2.5 m/s. During her fall she rotates with an average angular speed of 2.6 rad/s How many revolutions has she made when she hits the water? Express your answer using two significant figures.Δθ= (?) rev
- Riders are seated in a horizontal circle of radius 7.50 m on a carnival ride. They start from rest and accelerate uniformly for 21.0 seconds to a maximum rotational speed of 1.40 rad/s. Calculate the tangential acceleration of the riders during the first 21.0 s of the ride.A point mass of .39kg is set to rotate about a fixed axis .76 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.10 rad/s^2. At what time will the centripetal force acting on the mass be 50.8N ?