Domanda del libro di testo
Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 150°
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Ch. 3 - Radian Measure and The Unit Circle
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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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 15
Use the formula ω = θ/t to find the value of the missing variable.
θ = 3π/4 radians, t = 8 sec
Guida verificata passo dopo passo1
Identify the given variables and the formula: angular displacement \(\theta = \frac{3\pi}{4}\) radians, time \(t = 8\) seconds, and the formula for angular velocity \(\omega = \frac{\theta}{t}\).
Substitute the known values into the formula: \(\omega = \frac{\frac{3\pi}{4}}{8}\).
Simplify the expression by dividing the numerator by the denominator: \(\omega = \frac{3\pi}{4} \times \frac{1}{8}\).
Multiply the fractions: \(\omega = \frac{3\pi}{4 \times 8} = \frac{3\pi}{32}\).
Express the final formula for angular velocity \(\omega\) in terms of \(\pi\) and seconds, which represents the angular velocity in radians per second.
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Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Angular Displacement (θ)
Angular displacement represents the angle through which an object rotates, measured in radians. It indicates the change in the angular position of the object and is essential for calculating angular velocity.
Time Interval (t)
Time interval is the duration over which the angular displacement occurs, measured in seconds. It is a key variable in determining the rate of rotation or angular velocity.
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Percorso guidato
04:31
Eliminating the Parameter Example 1
Angular Velocity (ω)
Angular velocity is the rate of change of angular displacement with respect to time, expressed in radians per second. It is calculated using the formula ω = θ / t, linking angular displacement and time.
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Percorso guidato
03:48Introduction to Vectors
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