1800-150-456-789
FlagBACK
Flag Mechanics> A cube is subjected to a uniform volume c...
question mark

A cube is subjected to a uniform volume compression.If the side of the cube decreases by 2%,the bulk strain is

simran kohli , 10 Years ago
Grade 12
anser 3 Answers
Vasantha Kumari

Last Activity: 10 Years ago


181-1270_Bulk_Soln.JPG

Vinoothna Jadala

Last Activity: 6 Years ago

Given,
Each side is decreased by 2%We have ,
Volume of cube=L³
On Differentiating we get,
dV/v=3dL/L
dV/V=3×2/100
dV/v=0.06
dV/V=0.03
 

Kushagra Madhukar

Last Activity: 4 Years ago

Dear student,
Please find the attached solution to your problem below.
 
Each side is decreased by 2%
Hence, dL/L x 100 = – 2
or, dL/L = – 2/100
We have ,
Volume of cube=L³
On Differentiating we get,
dV/V = 3dL/L
dV/V = 3 × – 2/100
dV/V  =  – 0.06
Hence, its Bulk strain = dV/V = – 0.06
 
Hope it helps.
Thanks and regards,
Kushagra

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Other Related Questions on mechanics

question mark
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass
mechanics
2 Answers Available

Last Activity: 2 Years ago

question mark
An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle? 
mechanics
1 Answer Available

Last Activity: 2 Years ago

question mark
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
mechanics
1 Answer Available

Last Activity: 2 Years ago

question mark
A particle is traveling in a circle of radius R =2.5m and with an angular velocity of 10 rad/s. What is the centripetal acceleration of the particle? The particle begins to slow down with an angular acceleration of -1 rad/s2. After 5 seconds, what is the centripetal acceleration and the tangential acceleration fo the particle?
mechanics
1 Answer Available

Last Activity: 2 Years ago

question mark
If the acceleration of block A is 5 m/s^2
Find the acceleration of block B
mechanics
1 Answer Available

Last Activity: 2 Years ago