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Questions and Answers
What is the relationship between pressure and volume in a fluid, according to Boyle's law?
What is the relationship between pressure and volume in a fluid, according to Boyle's law?
What is the SI unit of viscosity?
What is the SI unit of viscosity?
What is the formula to calculate the flow rate of a fluid through a pipe?
What is the formula to calculate the flow rate of a fluid through a pipe?
What is the moment of inertia of an object?
What is the moment of inertia of an object?
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What is torque in rotational dynamics?
What is torque in rotational dynamics?
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What is angular momentum in rotational dynamics?
What is angular momentum in rotational dynamics?
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Study Notes
Pressure-Volume Relationship
- Boyle's law states that pressure and volume of a gas are inversely related at constant temperature.
- When the volume of a gas decreases, its pressure increases, and vice versa.
Viscosity
- The SI unit of viscosity is the Pascal-second (Pa·s).
- Viscosity measures a fluid's resistance to deformation or flow.
Flow Rate Calculation
- The flow rate of a fluid through a pipe is calculated using the formula:
- Flow Rate (Q) = Area (A) × Velocity (v).
- Area is the cross-sectional area of the pipe, while velocity is the speed of the fluid.
Moment of Inertia
- Moment of inertia quantifies an object's resistance to rotational motion.
- It is dependent on the mass distribution relative to the axis of rotation and has units of kg·m².
Torque in Rotational Dynamics
- Torque is a measure of the force that causes an object to rotate about an axis.
- It is calculated as: Torque (τ) = Force (F) × Distance (d) × sin(θ), where θ is the angle between the force and the lever arm.
Angular Momentum
- Angular momentum is the rotational equivalent of linear momentum.
- It is calculated as: Angular Momentum (L) = Moment of Inertia (I) × Angular Velocity (ω).
- It is conserved in an isolated system unless acted upon by an external torque.
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Description
Test your knowledge of the mechanical properties of fluids with this quiz. Explore Boyle's law and its relationship between pressure and volume in a fluid, discover the SI unit of viscosity, and understand the formula for calculating fluid flow rate through a pipe.