Answer:
the tension in each side of the cable is 3677.57 N
Explanation:
given data
traffic light = 20 kg
cable between two poles = 30 m
sag in the cable = 0.40 m
solution
by the free body diagram
tan θ =
.............1
θ = 1.527 °
and
tension = mg
The net force is along x - axis is express as
T2 cosθ = T1 cosθ .................2
so T2 - T1 ..............3
and
when we take it along y axis that is express as
( T1 + T2) sinθ = mg ...................4
so by equation 3 we put here
2 × T1 sin(1.527) = 20 × 9.8
T1 = 3677.57 N
Answer:
counter question if you get out the shower clean then how does your towel get dirty?
Measuring the Volume of Solids. The volume of solids is expressed in cubic measurements, such as cubic centimeter or cubic meter.
Answer:
The ride is above 22m in height for 1.33 minutes.
Explanation:
Let's first find the height required above the boarding platform for the ride to be 22 m above the ground:
Height required = 22 - 5 = 17 m
We can now, using a right angled triangle of height equal to the Ferris wheel radius, calculate the angle from the vertical axis to achieve this height:
Height of triangle = 15 - (17 - 15) = 13 m
Hypotenuse of triangle = radius = 15 m
Angle from the vertical:
Cos( Angle ) = base / hypotenuse = 13 / 15
Angle = 29.92 °
Multiplying this angle by 2 we get the total angle through which the ride is at the required height:
Total Angle = 29.92 * 2 = 59.85 °
To take out the time we can now simply multiply the ratio of this angle /360 by the time taken for one complete revolution:
Time = ![\frac{59.85}{360} * 8](https://tex.z-dn.net/?f=%5Cfrac%7B59.85%7D%7B360%7D%20%2A%208)
Time = 1.33 minutes