Answer: 808.24625J
Explanation:
Moment of inertia is the physical quantity, that expresses the tendency of a body to resist angular acceleration. It determines the Torque needed for a desired angular acceleration, about a rotational axis
I = 1/2mr²
I = 1/2(W/g)r²
I = 1/2 * 694/9.8 * 1.96²
I = 1/2 * 272.048
I = 136.024kgm²
Also,
Iα = Fr
136.024α = 61.5*1.96
136.024α = 120.54
α = 120.54/136.024
α = 0.8862 rad/s²
Angular Velocity,
ω = αt
ω = 0.8862*3.89
ω = 3.4473 rad/s
K = 1/2Iω²
K = 1/2*136.024*3.4473²
K = 1/2 * 1616.4925
K = 808.24625J
The angular velocity of the wheel at the bottom of the incline is 4.429 rad/sec
The angular velocity (ω) of an object is the rate at which the object's angle position is changing in relation to time.
For a wheel attached to an incline angle, the angular velocity can be computed by considering the conservation of energy theorem.
As such the total kinetic energy (K.E) and rotational kinetic energy (R.K.E) at a point is equal to the total potential energy (P.E) at the other point.
i.e.
P.E = K.E + R.K.E
Therefore, we can conclude that the angular velocity of the wheel at the bottom of the incline is 4.429 rad/sec
Learn more about angular velocity here:
brainly.com/question/1452612
I don't know Ioput, <span>but :
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gravity is:
simplified to near surface force:
so :
M mass of planet
R radius of planet
G gravitational constant
KE formula is .5mv^2
So KE=.5mv2
KE=.5(3)(2)^2
KE=.5(3)(4)
KE=.5(12)
KE=6 joules
I believe this is a true or false question. The answer is true. The reason we have seasons is because of the earths tilt. So without it, we would simply have a constant weather pattern. That's why it can get so cold around the North Pole, the tilt is most drastic there. So the real answer is that it depends on where you live. If you're on the equator, then no, not having a tilt won't impact climate much, but the further you are from the equator, the more change there would be.