Questions and Answers
What is the formula for Centripetal Acceleration?
What is the formula for Centripetal Force?
What is the Period (T) formula?
T = 1/f
What is the Frequency (f) formula?
Signup and view all the answers
What is the formula for Circular Velocity?
Signup and view all the answers
What is Newton's Law of Universal Gravitation formula?
Signup and view all the answers
What is the Gravitational Field Strength formula?
Signup and view all the answers
What is the formula for Orbital Speed?
Signup and view all the answers
What is the formula for Orbital Period?
Signup and view all the answers
Study Notes
Circular Motion Concepts
- Centripetal Acceleration: Calculated using ( a_c = \frac{v^2}{R} ), it measures the acceleration of an object moving in a circle, directed towards the center. Units are m/s².
- Centripetal Force: Given by ( F_c = m a_c ) or ( F_c = \frac{m v^2}{R} ), it is the net force causing centripetal acceleration, measured in Newtons (N).
Waves and Frequencies
- Period: The time taken to complete one full cycle of motion is calculated using ( T = \frac{1}{f} ), where T is in seconds.
- Frequency: The number of cycles per second, expressed as ( f = \frac{1}{T} ), with the unit Hertz (Hz), equivalent to 1/s.
Circular Motion Quantities
- Circular Velocity: Determined by the formula ( v = \frac{\text{circumference}}{\text{time}} = \frac{2\pi R}{T} ) or ( v = 2\pi R f ), representing the linear speed of an object in circular motion.
Gravitation Laws
-
Newton's Law of Universal Gravitation: States that the gravitational force ( F_g = \frac{GMm}{R^2} ) depends on the product of the masses (M and m) and inversely on the square of the distance (R) between their centers. Key variables include:
- M: mass of the planet
- m: mass of the object
- R: distance between the centers
- G: gravitational constant
Gravitational Concepts
- Gravitational Field Strength: Defined as ( g = \frac{GM}{R^2} ) where g is the acceleration due to gravity expressed in m/s². Derived from the universal gravitation formula. R can be the distance to the center of the mass.
- Orbital Speed: Given by ( v = \sqrt{\frac{GM}{R}} ), it shows the relationship between gravitational force and centripetal force. Increases with M and decreases with R.
Orbital Dynamics
- Orbital Period: Represented by ( T = \sqrt{\frac{4\pi^2 R^3}{GM}} ). It describes the time taken for one complete orbit. An increase in R leads to a longer period, while an increase in M results in a shorter period.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of key formulas related to circular motion and gravitation with this flashcard quiz. Each card presents a fundamental formula, including those for centripetal acceleration, centripetal force, period, and frequency. Perfect for AP Physics 1 students preparing for exams!
