Answer:
1) Angle with x-axis = 42.03 degrees
2) Angle with y-axis =68.2 degrees
3) Angle with z-axis = 56.14 degrees
Explanation:
given any vector
and any x axis the angle between them is given by
Applying values we get
Angle between the vector and y axis is given by
Applying values we get
Similarly angle between z axis and the vector is given by
Applying values we get
The question is incomplete. The complete question is :
The hydrofoil boat has an A-36 steel propeller shaft that is 100 ft long. It is connected to an in-line diesel engine that delivers a maximum power of 2590 hp and causes the shaft to rotate at 1700 rpm . If the outer diameter of the shaft is 8 in. and the wall thickness is in.
A) Determine the maximum shear stress developed in the shaft.
= ?
B) Also, what is the "wind up," or angle of twist in the shaft at full power?
= ?
Solution :
Given :
Angular speed, ω = 1700 rpm
Power
= 1424500 ft. lb/s
Torque,
= 8001.27 lb.ft
A). Therefore, maximum shear stress is given by :
Applying the torsion formula
= 2.93 ksi
B). Angle of twist :
= 0.08002 rad
= 4.58°
The friction force f = 10000 N
The heat transfer Q = 1.7936 KJ
<u>Explanation:</u>
Given data:
Surface area of Piston = 1
Volume of saturated water vapor = 100 K Pa
Steam volume = 0.05
Using the table of steam at 100 K pa
Steam density = 0.590 Kg/
Specific heat = 2.0267 KJ/Kg K
Mass of vapor = S × V
m = 0.590 × 0.05
m = 0.0295 Kg
Solution:
a) The friction force is calculated
Friction force = In the given situation, the force need to stuck the piston.
= pressure inside the cylinder × piston area
= 100 × × 0.1
f = 10000 N
b) To calculate heat transfer.
Heat transfer = Heat needs drop temperatures 30°C.
Q = 0.0295 × 2.0267 × × 30
Q = 1.7936 KJ