A rope of negligible mass is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? What is the linear acceleration of the rope? Assume that there is no slipping.
To visualize the average angular acceleration from a graph of
angular velocity: Explain.
a) Draw the slope as the line connecting two time points
(initial and final).
b) Draw the slope as a tangent line at a single time point
c) Shade in the area between the curve and the x‐axis between
two time points
At t = 0, a flywheel has an angular velocity of 10 rad/s, an
angular acceleration of -0.44 rad/s2, and a reference line at ?0 =
0. (a) Through what maximum angle ?max will the reference line turn
in the positive direction? What are the (b) first and (c) second
times the reference line will be at ? = ?max/4? At what (d)
negative time and (e) positive time will the reference line be at ?
= -8.0 rad?
Discuss the following topics:
1. Rotational Dynamics : Angular displacement, Angular velocity,
angular acceleration.
2. Rigid Body and Moment of Inertia
3. Angular Momentum, conservation of Angular Momentum and Torque
with some examples of applications.
4. Mechanical Equilibrium and conditions of equilibrium
5. Elasticity, Plasticity and Hooke's Law
6. Parallel Forces and net torque
7. Coefficient of Elasticity, stress, and strain.
The wheel of an engine starts to rotate from rest with uniform
angular acceleration. It accelerates angularly for an unknown time
(t1) until reaching an angular velocity of 45.13 rad / s, then
maintains that angular velocity constant for 37.8 s. The total
angle traveled by the wheel in total is 2398.61 rad.
a) What is the angular acceleration with which the wheel began
to rotate?
b) What is the time (t1) that the wheel was accelerating?
c) What is...
Define velocity and acceleration. Explain how acceleration can
be used to interpret the velocity of an object.
I want the written explanation because I can't read the
hand-writing one.
what is centripetal acceleration please explain this concept
discuss the formulas that connect angular velocity to angular
acceleration
give equations that involve centripetal acceleration and explain
them
Find (a) the angular velocity (rad/s) and (b) the linear
velocity (miles/hour) of a person standing in Sylmar (latitude 34
degrees north on Earth). Take R of Earth to be 4000 miles.
Ans should be about (a) 7.27 X
10-5 rad/s (b) ~ 900 mi/hr