Answer:
longitudinal engineering strain = 624.16
true strain is 6.44
Explanation:
given data
diameter d1 = 0.5 mm
diameter d2 = 25 mm
to find out
longitudinal engineering and true strains
solution
we know both the volume is same
so
volume 1 = volume 2
A×L(1) = A×L(2)
( π/4 × d1² )×L(1) = ( π/4 × d2² )×L(2)
( π/4 × 0.5² )×L(1) = ( π/4 × 25² )×L(2)
0.1963 ×L(1) = 122.71 ×L(2)
L(1) / L(2) = 122.71 / 0.1963 = 625.16
and we know longitudinal engineering strain is
longitudinal engineering strain = L(1) / L(2) - 1
longitudinal engineering strain = 625.16 - 1
longitudinal engineering strain = 624.16
and
true strain is
true strain = ln ( L(1) / L(2))
true strain = ln ( 625.16)
true strain is 6.44
Answer:
a) Angular frequency, w = 0.0184 rad/s
b) Amplitude of vibration = 245 m
Explanation:
a) Angular frequency, w = 2πf
f = 1/T, T = 5.7 minutes = 5.7 × 60 = 342 s
f = 1/342 = 0.00292 Hz or 0.00292/s
w = 2π (0.00292) = 0.0184 rad/s
b) Amplitude of simple harmonic motion,
displacement of simple harmonic motion, x(t) = A cos (wt-Φ)
A = amplitude
v = dx/dt = - Aw (sin (wt - Φ)
Velocity amplitude of simple harmonic motion = Amplitude × angular frequency
Amplitude = (velocity amplitude)/(angular frequency) = 4.5/0.0184 = 245m
Hope this Helps!!!
Answer:
2019 light bulbs
Explanation:
So the electrical energy consumed by each 59-W light bulb within 7 hours is the product of the power and time duration
E = Pt = 59 * 7 = 413 Wh or 0.413 kWh
If each light bulb consumes 0.413 kWh, then the total number of light bulbs needed to consume 834 kWh would be
834 / 0.413 = 2019 light bulbs
The answer is E. Short and thick while cold.
The greatest percent of mass of the universe is dark matter
