Podcast
Questions and Answers
What is the fundamental quantity from which mass is derived?
What is the fundamental quantity from which mass is derived?
Which unit is equivalent to 0.305 meters?
Which unit is equivalent to 0.305 meters?
In the expression d sin θ = n λ, what are the dimensions of the left-hand side?
In the expression d sin θ = n λ, what are the dimensions of the left-hand side?
What is the relationship between force and spring extension according to Hooke's law?
What is the relationship between force and spring extension according to Hooke's law?
Signup and view all the answers
Which unit is equivalent to 6.21 × 10^-4 miles?
Which unit is equivalent to 6.21 × 10^-4 miles?
Signup and view all the answers
What is the derived quantity from mass and time?
What is the derived quantity from mass and time?
Signup and view all the answers
What are the exponents n and m in the expression x ⍺ an tm obtained through dimensional analysis?
What are the exponents n and m in the expression x ⍺ an tm obtained through dimensional analysis?
Signup and view all the answers
On an interstate highway in a rural region of Wyoming, a car is traveling at a speed of 38 m/s. Is the driver exceeding the speed limit of 75 mi/h?
On an interstate highway in a rural region of Wyoming, a car is traveling at a speed of 38 m/s. Is the driver exceeding the speed limit of 75 mi/h?
Signup and view all the answers
What is the law giving the periodic time t of a simple pendulum if it depends on the length l, the mass of its bob, and the acceleration due to gravity g?
What is the law giving the periodic time t of a simple pendulum if it depends on the length l, the mass of its bob, and the acceleration due to gravity g?
Signup and view all the answers
Study Notes
Fundamentals of Measurement
- Mass is derived from the fundamental quantity of inertia.
Units
- 0.305 meters is equivalent to 1 yard.
- 6.21 × 10^-4 miles is equivalent to 1 kilometer.
Dimensions
- The left-hand side of the equation d sin θ = n λ has dimensions of length.
Hooke's Law
- Hooke's law states that force is directly proportional to spring extension.
Derived Quantities
- Momentum is the derived quantity from mass and velocity.
Dimensional Analysis
- The exponents n and m in the expression x ⍺ an tm obtained through dimensional analysis are 1 and -1 respectively, indicating that x is proportional to a^n and t^(-m).
Speed and Velocity
- 38 m/s is equivalent to approximately 85 mi/h, which exceeds the speed limit of 75 mi/h.
Simple Pendulum
- The law giving the periodic time t of a simple pendulum is t = 2π √(l/g), where l is the length of the pendulum and g is the acceleration due to gravity.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of physical quantities, fundamental and derived quantities, systems of units, and conversion factors. This quiz covers topics such as mass, time, density, velocity, and different systems of units such as meter, foot, kilogram, gram, and second.
