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Questions and Answers
What is the unit of elasticity modulus of the medium in the MKS system?
What is the unit of elasticity modulus of the medium in the MKS system?
- N/m
- N/m2 (correct)
- Pa
- kg/m3
What is the formula to calculate the speed of sound in a medium?
What is the formula to calculate the speed of sound in a medium?
- c = K/ρ
- c = √K/√ρ
- c = √K/ρ (correct)
- c = K/√ρ
What is the bulk modulus used for?
What is the bulk modulus used for?
- For calculating the elasticity modulus of a medium
- For calculating the density of a medium
- For linear objects
- For voluminous solid objects, liquids, and gases (correct)
What is the unit of density of the medium in the MKS system?
What is the unit of density of the medium in the MKS system?
What is the speed of sound dependent on?
What is the speed of sound dependent on?
What does GPa stand for?
What does GPa stand for?
What is the purpose of memorizing times tables up to 15 x 15 in the context of problem-solving?
What is the purpose of memorizing times tables up to 15 x 15 in the context of problem-solving?
What is the density of the concrete in the example given?
What is the density of the concrete in the example given?
What is Young's modulus of the concrete in the example given?
What is Young's modulus of the concrete in the example given?
What is the speed of sound in the concrete in the example given?
What is the speed of sound in the concrete in the example given?
What is bulk modulus related to in the context of oscillations and vibrations?
What is bulk modulus related to in the context of oscillations and vibrations?
What is an oscillation or vibration in the context of sound waves?
What is an oscillation or vibration in the context of sound waves?
What is a requirement for sound to travel?
What is a requirement for sound to travel?
What is the ratio of stress to strain in an object?
What is the ratio of stress to strain in an object?
What is the unit of measurement for the elasticity modulus?
What is the unit of measurement for the elasticity modulus?
What property of a medium affects the speed of sound?
What property of a medium affects the speed of sound?
What is the term for the ratio of applied pressure change to the resulting fractional change in volume?
What is the term for the ratio of applied pressure change to the resulting fractional change in volume?
What is the term for the elasticity of a linear object, such as a rod or wire?
What is the term for the elasticity of a linear object, such as a rod or wire?
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Study Notes
Math Fundamentals
- Memorize prefixes and powers of ten to easily manipulate numbers
- Long division and fractions are essential skills
- Knowing times tables up to 15 x 15 and factoring makes calculations easier
- Factoring means thinking backwards
- Rounding and estimation can be used to solve simpler problems
Oscillation and Vibration
- Oscillation or vibration is the back-and-forth motion of an object around its equilibrium position
- Examples of oscillating systems include lunar tides, tuning forks, strings in musical instruments, pendulums, and mass-and-spring systems
- Bulk modulus (B) is used for more bulky, shapeless objects, while speed of sound (c or v) depends on elasticity modulus of the medium (K) and density of the medium (ρ)
Speed of Sound
- The speed of sound in a medium is calculated by: c = √K/ρ
- K is the elasticity modulus of the medium in N/m2 (or Pascal)
- ρ is the density of the medium in kg/m3
- Example calculation: c = √(200 GPa)/(7700 kg/m3) = 5096.47 m/s
Elasticity
- Elasticity is the ratio of stress to strain
- It is a property of matter, not a restoring force
- Index of Elasticity (elasticity modulus, K) is the ratio of applied pressure change to the resulting fractional change in length (linear objects) or volume (bulky objects)
- Young's modulus (E) is used for linear objects, such as rods, columns, and wires
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