a 0.72 m diameter solid sphere can be rotated about an axis through its center by a torque of 10.8 nm which accelerates it uniformly from rest through a total of 180 revolutions in 15 s what is the mass of the sphere
using 2nd equation of angular motion
d = 0.5 at^2
180* 2* pi = 0.5 a * 15^2
a = 10.048 rad/s^2
now as we knw
T = I a
10.8 = (2/5)m 0.36^2* 10.048
m = 20.7338 kg
======
comment in case any doubt, will reply for sure.. goodluck
a 0.72 m diameter solid sphere can be rotated about an axis through its center by...
A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque of 10.8 m∗N which accelerates it uniformly from rest through a total of 150 revolutions in 16.0 s . What is the mass of the sphere? Express your answer to two significant figures and include the appropriate units.
Question 1 (5 points) A disk with a radius of 0.25 m rotates through 400-degrees as it travels 1.5 m. Does the disk roll without slipping? O Yes O No Save Question 2 (5 points) A 10 kg solid sphere of radius 0.50 m is rotated about an axis through its center. If the sphere accelerates from rest to an angular speed of 3.0 rad/s in 8.3 seconds, what net torque is required? O 0.12 Nm 0.90 Nm O 0.45...
positive direction) Multiple Choice 15% each! 1. A solid uniform sphere of mass 1.85 kg and diameter 45.0 cm spins about an axle through its center. Starting with an angular velocity of 2.40 revisit stops after turning through 18.2 rev with uniform acceleration. The net torque acting on this sphere as it is slowing down is dosest to (A) 0.0466 Nm (B) 0.00593 Nm (C) 0.0620 Nm (D) 0.149 Nm (E) 0.0372 Nm 2. If the torque on an object...
A solid sphere of mass 1.40 kg and radius 1.5 meters is rotating about its center at a rate of 10 rad/s. What is the magnitude of the torque that must be applied to bring it to rest in 10 seconds? Report your answer to the nearest 1 N*m.
The moment of inertia of the human body about an axis through
its center of mass is important in the application of biomechanics
to sports such as diving and gymnastics. We can measure the body's
moment of inertia in a particular position while a person remains
in that position on a horizontal turntable, with the bodys center
of mass on the turntable's rotational axis. The turntable with the
person on it is then accelerated from rest by a torque that...
1. NOTE UNITS: 1 cm = 0.01 m, 1 g = 0.001 kg A solid sphere has a radius 12 cm and a mass 30 g. It is rolling faster due to a torque of 0.009 Nm. The magnitude of its rotational acceleration is ? ___ rad/s2. 2. A thin hoop of radius 0.8 m and mass 0.4 kg is at rest initially. Then, a torque of 4 Nm is applied to make it rotate about its axis. The magnitude...
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....
A uniform solid sphere has a moment of inertia I about an axis tangent to its surface. What is the moment of inertia of this sphere about an axis through its center?
A wheel is turning about an axis through its center with constant angular acceleration. Starting from rest, at t=0, the wheel turns through 9.00 revolutions in t= 14.0 s . At 14.0 s the kinetic energy of the wheel is 35.5 J . For an axis through its center, what is the moment of inertia of the wheel?
A uniform solid sphere of radius r=0.490 m and mass m=14.5 kg turns clockwise about a vertical axis through its center (when viewed from above), at an angular speed of 3.20 rad / s. What is its vector angular momentum about this axis?(Enter the magnitude in kg · m² / s.)