The total amount of energy remains constant in an isolated system. It implies that energy can neither be created nor destroyed, but can be change from one form to another.
The frequency of a wave is equal to the linear speed divided the wavelength. so in equation form.
f = v / l
so the wavlength
l = v / f
where f is the frequency
v iss the linear speed
l is the wavelength
l = ( 5100 m/s ) / ( 2.2 Mhz ) ( 10^6 hz / 1 Mhz )
f = 0.0023 m
f = 2.3 mm
Answer:
Part a)
When rotated about the mid point
Part b)
When rotated about its one end
Explanation:
As we know that the angular acceleration of the rod is rate of change in angular speed
so we will have
Part a)
When rotated about the mid point
now torque is given as
Part b)
When rotated about its one end
now torque is given as
Answer:
The lid becomes tighter
It becomes tighter because metals have a lower heat capacity than glass meaning their temperature drops (or increases) much faster than glass for the same energy change. So in this example, the metal will contract faster than the glass causing it to be more tighter around the glass.
This is another application of Newton's second law of motion
Force = (mass) x (acceleration).
The quantities are a little more complicated in circular motion than
they are in plain old straight-line motion. In circular motion, the 'force'
is the centripetal force on the object, always pointing toward the center
of the circle. And the 'acceleration' is the centripetal acceleration, also
pointing toward the center of the circle, and equal to
(speed)² / (radius).
The only thing we really need to find is the centripetal acceleration, and
then we'll have everything needed to plug into the formula and calculate
the centripetal force.
Acceleration = (speed)² / (radius).
Speed = (distance) / (time) =
(3 circumferences) / (minute) =
(3 x 2pi x radius) / minute =
(6 pi x 8 meters) / (60 sec) = 0.8 pi m/s .
Acceleration = (speed)² / (radius) =
0.64 pi² m²/s² / (8 meters) = 0.08 pi² m/s² =
0.79 m/s² (rounded) .
Force = (mass) x (acceleration) =
(15 kg) x (0.79 m/s²) = 11.84 newtons
(about 2.66 pounds) .
I would not say that she "exerts this centripetal force". The fact of
the matter is much simpler: This is the force that something must
exert on her, pointing toward the center, in order to keep her revolving
around the center at that speed. It could be the friction between her
shoes and the platform, if she's standing on the merry-go-round.
It could be a rope tied between her ankle and something at the center
of the rotating platform. It could be the safety belt on the horse that
she's riding. Whatever it is, something has to constantly pull her toward
the center of the platform, with a force of 11.84 newtons, otherwise her
15kg body will not travel in that circular path.
