A stunt driver rounds a banked, circular curve. The driver rounds the curve at a high, constant speed, such that the car is just
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Answer:
The maximum shear stress in shaft AB, is 15 MPa
The maximum shear stress in shaft CD, is 45.9 MPa
Explanation:
The formula for a shaft polar moment of inertia, J is given by
J =
Therefore, we have
Where:
D = Diameter of shaft AB = 30 mm = 0.03 m
r = Radius of shaft AB = 15 mm = 0.015 m
∴ = 7.95 × 10⁻⁸ m⁴
and
Where:
D = Diameter of shaft CD = 36 mm = 0.036 m
r = Radius of shaft CD = 18 mm = 0.018 m
Therefore,
= 1.65 × 10⁻⁷ m⁴
Given that the shaft AB and CD are rotated 1.58 ° relative to each other, we have;
1.58 °= rad = 2.76 × 10⁻² rad.
That is = 2.76 × 10⁻² rad.
However
Where:
and
and
= Torque on shaft AB and CD respectively
= Required
= 500 N·m
and
= Length of shafts AB an CD respectively
= 600 mm = 0.6 m
= 900 mm = 0.9 m
G = Shear modulus of the material = 77.2 GPa
Therefore;
=
2.76 × 10⁻² rad =
=
Therefore;
T = 79.54 N.m
Where T = + T
=
Therefore T = 500 - 79.54 = 420.46 N·m
τ =
=
=
= 15 MPa
=
=
= 45.9 MPa
(a)The initial velocity of the shell will be 594.27 m/sec
(b)The maximum height it reaches will be 9000 m.
c)101.249 m meters lower will its surface be 36.0 km from the ship along a horizontal line parallel to the surface of the ship.
d)The error could be significant compared to the size of a target. Option C is correct.
<h3>What is velocity?</h3>The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
m is the mass of the block = Kg.
u is the initial velocity of fall = m/sec
h is the distance of fall = m
g is the acceleration of free fall = m/sec²
v is the hitting velocity of =?
a)
The range of the projectile is;
b)
The maximum height of the projectile is;
c)
The distance between its surface and the ship, measured in a horizontal arc parallel to the surface, will be 36.0 kilometers. The distance from the lower surface is found as;
d)
An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.
The difference between the calculated value and the original value is known as the error. The inaccuracy may be large in comparison to the target's size. Option C is correct.
Hence the initial velocity of the shell, maximum height, and the distance from the lower surface will be 594.27 m/sec,9000 m, and 101.249 m and option c for question d are correct respectively.
To learn more about the velocity, refer to the link: brainly.com/question/862972.
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