Use the formula ω=(θ)/(t) to find the value of the missing variable. θ=(2 π)/(5) radians, t=10 s

Name: Problem 92, Chapter 6: Precalculus
Uploaded: 2021-05-17T17:37:40-08:00
Duration: 1 min 20 s
Channel: Anas Venkitta
Description: Use the formula ω=(θ)/(t) to find the value of the missing variable. θ=(2 π)/(5) radians, t=10 sec

step 1 So in the given question we have a formula that is given as omega is equal to theta divided by t

Question

Use the formula $\omega=\frac{\theta}{t}$ to find the value of the missing variable. $\theta=\frac{2 \pi}{5}$ radians, $t=10 \mathrm{sec}$

   Use the formula $\omega=\frac{\theta}{t}$ to find the value of the missing variable.
$\theta=\frac{2 \pi}{5}$ radians, $t=10 \mathrm{sec}$

Precalculus

Margaret L. Lial,… 6th Edition

Chapter 6, Problem 92

Instant Answer

Solved by Expert Anas Venkitta

05/17/2021

Step 1

Step 1: First, we are given the formula $\omega=\frac{\theta}{t}$, where $\omega$ is the angular velocity, $\theta$ is the angle in radians, and $t$ is the time in seconds. Show more…

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Use the formula $\omega=\frac{\theta}{t}$ to find the value of the missing variable. $\theta=\frac{2 \pi}{5}$ radians, $t=10 \mathrm{sec}$

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Key Concepts

Time

Time is the duration over which an event occurs and is a crucial element in calculating rates such as angular velocity. In rotational motion, knowing the time taken for a certain angular displacement allows for the determination of how quickly an object is rotating.

Angular Displacement

Angular displacement refers to the angle through which a point or line has been rotated in a circular path. Measured in radians, it quantifies the extent of rotation and, when used in the formula for angular velocity, determines how much an object has turned over a given time interval.

Angular Velocity

Angular velocity is a measure of how fast an object rotates around a central point or axis, defined as the ratio of angular displacement to the time over which the displacement occurs. It is commonly expressed in radians per second and is a fundamental concept in rotational kinematics.

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