<span>During the hour, the second hand will have traveled a full 360 degrees times 60 for a total displacement of 21600 degrees or 21600*pi/180 = 120 pi radians, or approximately 376.99 radians.
Also during that hour, the minute hand will have gone around a full 360 degrees, or 360*pi/180 = 2 pi radians, or approximately 6.28 radians.
And finally, the hour hand will have gone 360/12 = 30 degrees or 30*pi/180 = pi/6 radians, or approximately 0.52 radians.</span>
Answer:B)439.21 Hz
Explanation:
Given
velocity of train 
frequency of train 
speed of sound 
frequency from Doppler effect can be calculated by





Answer:
Explanation:
Given:
A = 589 J
D = 1 100 m
____________
F - ?
A = F·D
F = A / D = 589 / 1100 ≈ 0.54 N
First, calculate volume:
volume = 21.2 ft * 46.1 ft * 19.4 ft
volume = 18,960 ft^3
Convert to gallon:
volume = 18,960 ft^3 * (12 in / 1 ft)^3 * (1 gallon / 231
in^3)
volume = 141,830.71 gallon
Therefore the time is:
time = 141,830.71 gallon / (5.85 gal/min)
time = 24,244.57 min
<span>This problem is solved by the equation of motion:
x = x0 + v0*t + 1/2*a*t^2,
Here x0 = 0, v0 = 40ft/sec and a = -5 ft/s^2, we need to solve for t:
v = v0 + a*t, solve how long does it take to stop: 0 = v0 + a*t --> a*t = -v0 --> t = -v0/a
-- > 40/5 = 8 seconds to stop.
In this time, the car travels x = 0 + 40*8 + 0.5*-5*8^2 ft ~ 160 ft.
Answer: The car travels 160 ft.</span>