Chapter 6: Q. 98 (page 366)

An object is traveling around a circle with a radius of $2$ meters. If in $20$ seconds the object travels $5$ meters, what is its angular speed? What is its linear speed?

Short Answer

Expert verified

The angular speed is $0.125 r a d i a n s / m i n u t e$ and the linear speed is $0.25 m e t e r / s e c o n d$

Step by step solution

Step 1. Given information

An object travels around a circle with a radius of $2$ meters and in $20$ seconds the object travels $5$ meters,

Step 2. Used formulae

The angular speed is the ratio of the angle travelled $θ$ and the taken time $t$ . That is, angular speed $ω = \frac{θ}{t}$
The linear speed is the ratio of the distance travelled $s$ and the time taken $t$ . that is, $v = \frac{s}{t}$ and also, $ω = \frac{v}{r}$

Step 3. Calculations

Substituting the values in the mentioned formulae, we get,

The linear speed $v = \frac{5}{20} = \frac{1}{4} = 0.25 m e t e r / s e c o n d$

and, the angular speed $ω = \frac{0.25}{2} = 0.125 r a d i a n s / m e t e r$

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An object is traveling around a circle with a radius of $2$ meters. If in $20$ seconds the object travels $5$ meters, what is its angular speed? What is its linear speed?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Used formulae

Step 3. Calculations

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An object is traveling around a circle with a radius of 2meters. If in 20seconds the object travels 5 meters, what is its angular speed? What is its linear speed?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Used formulae

Step 3. Calculations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Discrete Mathematics

Logic and Functions

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

An object is traveling around a circle with a radius of $2$ meters. If in $20$ seconds the object travels $5$ meters, what is its angular speed? What is its linear speed?