Define bulk modulus of elasticity how is compressibility related with bulk modulus of elasticity? Skip to main content

Define bulk modulus of elasticity how is compressibility related with bulk modulus of elasticity?

Image
By


Question: Define bulk modulus of elasticity how is compressibility related with bulk modulus of elasticity?

In this blog post, we will learn about the concept of bulk modulus of elasticity, which is one of the measures of the mechanical properties of solids and fluids. We will also see how compressibility is related to bulk modulus of elasticity.

What is bulk modulus of elasticity?

Bulk modulus of elasticity is defined as the ratio of the applied pressure to the relative decrease in volume of a material when it is under pressure on all surfaces. It is a numerical constant that describes the elastic properties of a solid or fluid, i.e., how much it will compress under a given amount of external pressure. The bulk modulus of elasticity is denoted by the symbol K, and it has the dimension of force per unit area. It is expressed in the units of pascal (Pa) or newton per square meter (N/m^2) in the SI system.

Mathematically, we can write the formula for bulk modulus of elasticity as:

K = ΔP / (ΔV/V)

Where:

K: Bulk modulus
ΔP: Change of the pressure or force applied per unit area on the material
ΔV: Change of the volume of the material due to the compression
V: Initial volume of the material

How is compressibility related to bulk modulus of elasticity?

Compressibility is a measure of how much a material can be reduced in volume by applying pressure. It is the inverse of bulk modulus of elasticity, i.e.,

β = 1/K

Where:

β: Compressibility
K: Bulk modulus

The higher the value of K for a material, the lower its compressibility and vice versa. For example, steel has a high value of K (about 1.6×10^11 N/m^2) and a low value of β (about 6.25×10^-12 m^2/N), which means that steel is very incompressible and resistant to volume change under pressure. On the other hand, gases have very low values of K and very high values of β, which means that gases are very compressible and easily change their volume under pressure.

Labels

Labels:

Comments

Post a Comment

let's start discussion

Popular posts from this blog

अज्ञेय का वैवाहिक जीवन उतार-चढ़ाव भरा था, वर्णन कीजिए? Aage ka vaivahik jivan utar chadhav bhara tha varnan kijiye

By
सवाल: अज्ञेय का वैवाहिक जीवन उतार-चढ़ाव भरा था, वर्णन कीजिए? अज्ञेय का वैवाहिक जीवन उतार-चढ़ाव भरा था। उन्होंने दो विवाह किए, लेकिन दोनों विवाह सफल नहीं हो पाए। उनका पहला विवाह 1937 में राजकुमारी रत्नलता से हुआ था। यह विवाह अज्ञेय के परिवार की इच्छा के विरुद्ध था। अज्ञेय के पिता हीरानंद वात्स्यायन संस्कृत के विद्वान थे और वे चाहते थे कि अज्ञेय एक योग्य विदुषी से विवाह करें। रत्नलता एक साधारण परिवार से थीं और वे संस्कृत नहीं जानती थीं। इस कारण से, अज्ञेय के परिवार वालों ने इस विवाह का विरोध किया। अज्ञेय और रत्नलता का विवाह कुछ वर्षों तक चलता रहा, लेकिन अंततः उनका तलाक हो गया। इस तलाक के कई कारण थे, जिनमें अज्ञेय की व्यस्त जीवनशैली, रत्नलता की शिक्षा और सामाजिक पृष्ठभूमि में अंतर, और अज्ञेय के परिवार का विरोध शामिल था। अज्ञेय का दूसरा विवाह 1956 में कपिला मलिक से हुआ था। कपिला एक मशहूर संगीतकार थीं और वे अज्ञेय की साहित्यिक प्रतिभा की प्रशंसक थीं। यह विवाह कुछ वर्षों तक चलता रहा, लेकिन अंततः यह भी विफल हो गया। इस विफलता के कारणों में अज्ञेय के व्यस्त जीवनशैली, कपिला की स्वतंत्रताप्रियता,...
Post a Comment
Read more

Explain voter apathy indifference among the youth considered a challenge for south africa democracy?

By
Question: Explain voter apathy indifference among the youth considered a challenge for south africa democracy?  Voter apathy and indifference among the youth pose significant challenges to South Africa's democracy. When young people disengage from the electoral process, it undermines the representativeness and legitimacy of the government. Low youth voter turnout means that the voices and concerns of young South Africans are underrepresented in policymaking, leading to policies that may not adequately address issues crucial to them, such as unemployment, education, and access to healthcare. This lack of participation can also empower special interests and entrenched elites, further marginalizing young people's voices in the political process. Additionally, voter apathy among the youth can contribute to political instability, as a significant portion of the population feels unheard and unrepresented, 
1 comment
Read more

List four social beliefs in south africa that contribute to the high frequency of sexual assault?

By
Question: List four social beliefs in south africa that contribute to the high frequency of sexual assault? Four societal beliefs in South Africa that contribute to the high frequency of sexual assault include: Gender Inequality and Patriarchy – Deep-rooted patriarchal structures place men in positions of power, leading to the normalization of violence against women and reinforcing male dominance. Victim-Blaming Attitudes – Many believe that victims are responsible for the assault due to their behavior, clothing, or choices, discouraging them from reporting incidents and allowing perpetrators to act without accountability. Cultural Norms Surrounding Masculinity – Traditional views of masculinity emphasize aggression and dominance, leading some men to feel entitled to assert power over women through sexual violence. Silence and Stigma Around Sexual Violence – Many victims fear speaking out due to societal stigma, allowing abuse to go unreported and perpetrators to continue their actions...
Post a Comment
Read more