K = (1/2)*I*w^2...
guven that I = 0.034 kg*m^2...
torque T = I*alpha...
alpha = T/I = 0.11/0.034 =3.235 rad/s^2
angular accelaration alpha = (wf-wi)/t..
wi = 0 rad/sec..t = 8 sec....wf=?
3.235 = wf/t...
wf = 3.235*8 = 25.88 rad/sec...
K = 0.5*I*wf^2 = 0.5*0.034*25.88*25.88 =11.34 J = 11
J
so the answer is C) 11 J
Answer is C
The torque is causing the angular velocity of the fan to increase. Let
A ventilation fan with a moment of inertia of 0.034 kgm2 has a net torque of 0.11 Nm
A fan with the moment of inertia of 4 kgm2 is spinning with an angular speed of 10 rad/s. What is its rotational kinetic energy in J
A ceiling fan is turned on and a net torque of 2.8 Nm applied to the blades. The blades have a total moment of inertia of 0.18 kg.m. What is the angular acceleration of the blades? Number Units
A potter's wheel with a moment of inertia of 8.0kg-m^2 has 5.0 N-m applied to it. It starts from rest. 10. seconds later it has gained what kinetic energy? (The answer is 78J, but I don't know how to arrive at the answer.)
A ceiling fan is turned on and a net torque of 1.4 N·m applied to the blades. The blades have a total moment of inertia of 0.29 kg·m2. What is the angular acceleration of the blades?
A wheel of moment of inertia of 3.00 kg.m2 starts from rest and accelerates under a constant torque of 3.00 N.m for 4.00 s. The wheel's rotational kinetic energy at the end of 4.00 s is = A wheel starts at rest, and has an angular acceleration of 4 rad/s2. After 4.0 s it will have an angular velocity of ? rad/s A wheel starts at rest, and has an angular acceleration of 3.5 rad/s2. After 2.0 s it will have...
A constant torque of 30 N-m acts on a 5 kg flywheel whose moment of inertia is 2 kg-m^2. If the wheel starts from rest, after 10 seconds it will have a rotational kinetic energy of 9 kJ 23 kJ 56 kJ 45 kJ
A ceiling fan is turned on and a net torque of 1.6 N · m is applied to the blades. The blades have a total moment of inertia of 0.24 kg · m2. What is the angular acceleration of the blades?
An object whose moment of inertia is 2.5·kg·m2 experiences the torque shown in the figure. What is the object's angular velocity at t = 2.4·s? Assume it starts from rest. 7 (Nm)
7.) A ceiling fan is turned on and a net torque of 2.2 N · m is applied to the blades. The blades have a total moment of inertia of 0.24 kg · m2. What is the angular acceleration of the blades?
A solid cylinder has a moment of inertia of 0.08 kg- m^2. A torque of 5.0 N-m is applied to the disk so it begins to spin on an axis going through its center( assume the disk was originally at rest). what is the angular acceleration of the disk? What is the rotational kinetic energy of the disk after 2 seconds?