Answer:
a) 0.2099
b) 46.5 MPa
c) 233765 N
d) 3896 W
Explanation:
a)
r = (A'' - A') / A'', where
A'' = 1/4 * π * D''²
A'' = 1/4 * 3.142 * 90²
A'' = 6362.55 mm²
D' = D'' - d = 90 - 10 = 80 mm
A' = 1/4 * π * D'²
A' = 1/4 * 3.142 * 80²
A' = 5027.2 mm²
r = (A'' - A') / A'
r = (6362.55 - 5027.2) / 6362.55
r = 1335 / 6362.55
r = 0.2099
b)
Draw stress = σd
Y' = k = 105 MPa
Φ = 0.88 + 0.12(D/Lc), where
D = 0.5 (90 + 80) = 85 mm
Lc = 0.5 [(90 - 80)/sin 18] = 16.18 mm
Φ = 0.88 + 0.12(85/16.18) = 1.51
σd = Y' * (1 + μ/tan α) * Φ * In(A''/A')
σd = 105 * (1 + 0.08/tan18) * 1.51 * In(6362.55/5027.2)
σd = 105 * 1.246 * 1.51 * 0.2355
σd = 46.5 MPa
c)
F = A' * σd
F = 5027.2 * 46.5
F = 233764.8 N
d)
P = 233764.8 (1 m/min)
P = 233764.8 Nm/min
P = 3896.08 Nm/s
P = 3896.08 W
Answer:
Explanation:
Using the kinematics equation
to determine the velocity of car B.
where;
initial velocity
= constant deceleration
Assuming the constant deceleration is = -12 ft/s^2
Also, the kinematic equation that relates to the distance with the time is:

Then:

The distance traveled by car B in the given time (t) is expressed as:

For car A, the needed time (t) to come to rest is:

Also, the distance traveled by car A in the given time (t) is expressed as:

Relating both velocities:





t = 2.25 s
At t = 2.25s, the required minimum distance can be estimated by equating both distances traveled by both cars
i.e.



d + 104.625 = 114.75
d = 114.75 - 104.625
d = 10.125 ft
Answer:32.4m/
Explanation:
Given data
=0.4m
Intial angular velocity
=4rad/s
angular acceleration
=5rad/
angular velocity after 1 sec
=
+
=4+5
=9rad/s
Velocity of point on the outer surface of disc
=
v=
m/s=3.6m/s
Normal component of acceleration
=
=
=32.4m/