1. Which of the following system parts controls cool- ant flow through a radiator? (A) Fan (B) Radiator (C) Thermostat (D) Tempe
1 answer:
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Using an appropriate failure theory, find the factor of safety in each case. State the name of the theory that you are using the theory is max stress theory.
<h3>Wat is the max stress theory?</h3>The most shear strain concept states that the failure or yielding of a ductile fabric will arise whilst the most shear strain of the fabric equals or exceeds the shear strain fee at yield factor withinside the uniaxial tensile test.”
Stress states at various critical locations are f= 2.662.
Read more about strain:
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Given Information:
Angular velocity = ω = 4 rad/s
Angular acceleration = α = 5 rad/s²
Center deceleration = a₀ = 2 m/s
Required Information:
Acceleration of point A at this instant = ?
Answer:
Acceleration of point A at this instant = 5.94 m/s²
Explanation:
Refer to the attached diagram of the question,
The acceleration of point A is given by
a = a₀ + rα - rω²
Where r is the radial distance between the center and point A, a₀ is the deceleration of center, α is the angular acceleration and ω is the angular velocity.
a = -2i + 0.3j*5k - 0.3j*4²
a = -2i + 1.5(j*k) - 0.3j*16
a = -2i + 1.5(-i) - 4.8j
a = -2i - 1.5i - 4.8j
a = -3.5i - 4.8j
The magnitude of acceleration vector is
a = √(-3.5)² + (-4.8)²
a = √35.29
a = 5.94 m/s²
Therefore, the acceleration of point A is 5.94 m/s²
The angle is given by
θ = tan⁻¹(y/x)
θ = tan⁻¹(-4.8/-3.5)
θ = 53.9°
Answer with Explanation:
By the equation or Torque we have
where
T is the torque applied on the shaft
is the polar moment of inertia of the shaft
is the shear stress developed at a distance 'r' from the center of the shaft
is the angle of twist of the shaft
'G' is the modulus of rigidity of the shaft
We know that for solid shaft
For a hollow shaft
Since the two shafts are subjected to same torque from the relation of Torque we have
1) For solid shaft
2) For hollow shaft we have
Comparing the above 2 relations we see
Similarly for angle of twist we can see
Part b)
Strength of solid shaft =
Weight of solid shaft =
Strength per unit weight of solid shaft =
Strength of hollow shaft =
Weight of hollow shaft =
Strength per unit weight of hollow shaft =
Thus