In Physics we model the Earth as a solid ball, if the mass of the Earth 5.97x1024 kg and radius of 6371 km and rotates with an angular velocity of 7.29x10-5 rad/s. What is the rotational kinetic energy of the Earth?
In Physics we model the Earth as a solid ball, if the mass of the Earth...
1.A solid uniform sphere of mass 3.7 kg and radius 0.051 m rotates with angular velocity 7.3 rad/s about an axis through its center. Find the sphere’s rotational kinetic energy. 2.A certain pulley is a uniform disk of mass 2.7 kg and radius 0.25 m. A rope applies a constant torque to the pulley, which is free to rotate without friction, resulting in an angular acceleration of 0.12 rad/s2. The pulley starts at rest at time t = 0 s....
Physics 10.18
We can roughly model a gymnastic tumbler as a uniform solid cylinder of mass 75.0 kg and diameter 1.10 m. If this tumbler rolls forward at 0.700 rev/s, how much total kinetic energy does he have? What percent of his total kinetic energy is rotational?
Using Newton's gravity force, (a) find orbital speed of the moon around the earth. (b) Find orbital period of the moon around the Earth by the unit of the day. The mass of the Earth is 5.972*1024 kg, mass of the moon is 7.347*1022 kg and distance between Earth and moon is 384400 km. Below figure is graph angular velocity versus time for a tin rod that rotates around one end. The scale on w axis is is set by...
1. For a rod of mass 10 kg, length 3 m, pivoted at one end, rotating at angular velocity 10 rad/s, what is its rotational kinetic energy? a. 0 J b. 1.5 J c. 1500 J d. 300 J e. insufficient information 2. The Earth rotates on its axis once every 24 hours. Its radius is 6370km. What is Earth's angular velocity in rad/s? (1km = 1000m) a. 0.0027 rad/s b. insufficient information c. 463 rad/s d. 7.27 x 10^-5...
A 7.0 kg solid ball, radius 10 cm, is rolling at 10 m/s. For a solid ball the moment of inertia I=2MR2/5. 1. Calculate the ball's angular velocity in rad/s (show calculations) A. 100 B. 70 C.350 D.140 E.490 2. Calculate the balls linear momentum and angular momentum in kgs/s and kgm2/s, respectively (show calculations) A. 350 & 140 B. 140 & 350 C. 70 & 2.8 D. 2.8 & 70 3. Calculate the ball's translational rotational and total kinetic...
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. (a) After the combination rotates through 90...
For how long must a solid sphere of mass 3.95 kg accelerate from rest at α = 0.84 rad/s^2 for the sphere to have the same rotational kinetic energy as a spherical shell of mass 5.86 kg and angular velocity 12.4 rad/s. Both objects have the same radius of 2.00 m. (I_sp = (2/5)MR^2, I_sh = (2/3)MR^2) A. 18.0 s B. 23.2 s C. 27.9 s D. 13.9 s
What is the rotational kinetic energy of a 0.54 kg solid cylinder, with a radius of 0.14 m (I = 1/2MR2), that is rolling with an angular velocity of 4.3 rad/s?
7. Given that the mass and radius of the Earth are 5.972x1024 kg and 6371 km, respectively, then the escape velocity of planet Earth-Prime, whose radius is the same as Earth’s but whose mass is 2.0 Earth masses is a) 15.8 km/s b) 15.0 km/s c) 13.7 km/s d) 10.6 km/s e) 23.6 km/s
A solid spherical ball of mass 2.53 kg and radius 0.12 m rolls along a smooth, level surface with a speed of 2 m/s. What is the ball’s rotational kinetic energy?