Scientists use models to study atoms, Because atoms are very tiny, and almost impossible to cut open and look inside.. And the center of an atom is the nucleus and that is ever smaller.
Answer:
a)6.67 m/s2
b)16.7 rad/s2
c)increasing angular acceleration
Explanation:
a) It's because the system is not just mass of the man, it consists of the man holding a rope wrapped around a cylinder, not just a man free falling. So you would have to consider the rotating cylinder under the torque created by the man gravity force.
Let g = 10m/s2
T = mgd =75*10*0.4 = 300 N.m
The from the mass moments inertial of the solid cylinder:

we can calculate the angular acceleration of the cylinder:

then translate that to acceleration:

c) if the mass of the rope is not neglected, that means the force of gravity increases as the rope unwrapping around the cylinder, so the torque increases. Also the moment of inertial of the rope-cylinder system decreases due to rope unwrapping. In the end, the angular acceleration is no longer constant, but increasing.
Hi there!
a)
We can find the angular velocity at t = 2.0 s by plugging in this value into the equation.

b)
The angular acceleration is the derivative of the angular velocity, so:

Thus, the angular acceleration is a <u>constant 25 rad/s².</u>
Distance = rate x time. Your rate is 2.5 meters per second and your time is 45 minutes. So d=2.5 x 45. Your distance is 112.5 meters.