Domanda del libro di testo
Find each exact function value. See Example 2.
sin (-4π/3)
898
views
Ch. 3 - Radian Measure and The Unit Circle
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 4, Problema 25
Use the formula v = r ω to find the value of the missing variable.
v = 12 m per sec, ω = 3π/2 radians per sec
Guida verificata passo dopo passo1
Identify the given variables and the formula: the formula is \(v = r \times \omega\), where \(v\) is the linear velocity, \(r\) is the radius, and \(\omega\) is the angular velocity.
From the problem, you have \(v = 12\) m/s and \(\omega = \frac{3\pi}{2}\) radians per second. The missing variable is \(r\) (the radius).
Rearrange the formula to solve for \(r\): \(r = \frac{v}{\omega}\).
Substitute the known values into the rearranged formula: \(r = \frac{12}{\frac{3\pi}{2}}\).
Simplify the expression by dividing 12 by \(\frac{3\pi}{2}\) to find the value of \(r\).
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Linear Velocity (v)
Linear velocity refers to the speed at which a point on a rotating object moves along its circular path. It is measured in units like meters per second (m/s) and depends on both the angular velocity and the radius of the rotation.
Video consigliato:
Percorso guidato
6:00
Categorizing Linear Equations
Angular Velocity (ω)
Angular velocity measures how fast an object rotates or spins, expressed in radians per second (rad/s). It represents the rate of change of the angular displacement and is crucial for relating rotational motion to linear motion.
Video consigliato:
Percorso guidato
03:48Introduction to Vectors
Relationship Between Linear and Angular Velocity (v = rω)
The formula v = rω connects linear velocity (v), radius (r), and angular velocity (ω). It shows that linear velocity is the product of the radius of the circular path and the angular velocity, allowing calculation of any one variable if the other two are known.
Video consigliato:
Percorso guidato
6:00Categorizing Linear Equations
Pratica correlata
Domanda del libro di testo
Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2.
Halifax, Nova Scotia , 45° N, and Buenos Aires, Argentina, 34° S
608
views
Domanda del libro di testo
Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―1800°
739
views
Domanda del libro di testo
Distance between Cities Find the distance in kilometers between each pair of cities, assuming they lie on the same north-south line. Assume the radius of Earth is 6400 km. See Example 2.
New York City, New York, 41° N, and Lima, Peru, 12° S
637
views
Domanda del libro di testo
Find each exact function value. See Example 2.
cos 7π/4
807
views
Domanda del libro di testo
Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―900°
878
views