A) 1 rev = 2π rad. Using this ratio, you can find the rad/s: 1160 rev/min x 2π rad/rev x 1 min/60 s = 121.5 rad/s
b) You can find linear speed from angular speed using this equation (note the radius is half the diameter given in the question): v = ωr = 121.5 rad/s x 1.175 m = 142.8 m/s
c) You can find centripetal acceleration using this equation: a = v^2/r = (142.8 m/s)^2 / 1.175 m = 17 355 m/s^2
The answer is B, constant speed sideways, acceleration downwards.
Answer:
Explanation:
Given
Camera has an adjustable focal length ranging from to mm
Power is given by Reciprocal of focal length in meter
Power corresponding to 77 cm
Power corresponding to 224 cm
Therefore, the range of the power is
Answer:
Part a)
Weight on surface of other planet = 213.4 N
Part b)
Mass of the Astronaut = 66.0 kg
Part c)
Weight of the Astronaut on Earth = 646.8 N
Explanation:
Part A)
Weight of the Astronaut on the surface of the planet is given as
here we will have
also we have
now we have
Part B)
Mass of the Astronaut will always remains the same
So it will be same at all positions and all planets
So its mass will be
m = 66.0 kg
Part C)
Weight of the Astronaut on Earth is given as
Answer:
.
Explanation:
The frequency of a wave is equal to the number of wave cycles that go through a point on its path in unit time (where "unit time" is typically equal to one second.)
The wave in this question travels at a speed of . In other words, the wave would have traveled in each second. Consider a point on the path of this wave. If a peak was initially at that point, in one second that peak would be
How many wave cycles can fit into that ? The wavelength of this wave gives the length of one wave cycle. Therefore:
.
That is: there are wave cycles in of this wave.
On the other hand, Because that of this wave goes through that point in each second, that wave cycles will go through that point in the same amount of time. Hence, the frequency of this wave would be
Because one wave cycle per second is equivalent to one Hertz, the frequency of this wave can be written as:
.
The calculations above can be expressed with the formula:
,
where
- represents the speed of this wave, and
- represents the wavelength of this wave.