This sounds pretty easy, in fact. The orbital motion can be assumed to be circular and with constant speed. Then, the period is the time to do one revolution. The distance is the length of a revolution. That is 2*pi*R, where R is the distance between the Moon and the Earth (the respective centers to be precise). In summary, it's like a simple motion with constant speed:
v = 2*pi*R/T,
you have R in m and T is days, which multiplied by 86,400 s/day gives T in seconds.
Then v = 2*pi*3.84*10^8/(27.3*86,400) = 1,022.9 m/s ~ 1 km/s (about 3 times the speed of sound :)
For the Earth around the Sun, it would be v = 2*pi*149.5*10^9/(365*86,400)~ 29.8 km/s!
I know it's not in the problem, but it's interesting to know how fast the Earth moves around the Sun! And yet we do not feel it (that's one of the reasons some ancient people thought crazy the Earth not being at the center, there would be such strong winds!)
Simple machines are pullys ramps and more thaks 4 pointz
Answer:
(a) The "angular speed" is 5.88 rad/s.
Explanation:
Given values,
The length of the bar is L = 2m
The weight of the bar is w = 90 N
The metal bar is hanging vertically from the ceiling by a frictionless pivot
The mass of the ball is m = 3kg
The distance between the ceiling and the ball is d = 1.5m


(a) Calculating the angular speed:




The angular speed is 5.88 rad/s.
(b) The "angular momentum" is conserved because the torque is not exerted by "the pivot" on the system about the "axis of rotation" but the "linear momentum" is not conserved because "the pivot" exerts a "vertical" and a "horizontal force" on the system during the collision.
Answer:
The temperature change per compression stroke is 32.48°.
Explanation:
Given that,
Angular frequency = 150 rpm
Stroke = 2.00 mol
Initial temperature = 390 K
Supplied power = -7.9 kW
Rate of heat = -1.1 kW
We need to calculate the time for compressor
Using formula of compression



Put the value into the formula


We need to calculate the rate of internal energy
Using first law of thermodynamics


Put the value into the formula


We need to calculate the temperature change per compression stroke
Using formula of rate of internal energy


Put the value into the formula


Hence, The temperature change per compression stroke is 32.48°.