Question

Kristin boards a Ferris wheel at the 3-o'clock and rides the Ferris wheel for one full rotation (as shown below). The radius of the Ferris wheel is 14 meters. Let s represent the varying number of meters Kristin has traveled along the circular path since the ride started. a. Write an expression (in terms of s) to represent the number of radians Kristin has swept out since the ride started. b. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in radius lengths. c. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in meters.

          Kristin boards a Ferris wheel at the 3-o'clock and rides the Ferris wheel for one full rotation (as shown below). The radius of the Ferris wheel is 14 meters. Let s represent the varying number of meters Kristin has traveled along the circular path since the ride started.

a. Write an expression (in terms of s) to represent the number of radians Kristin has swept out since the ride started.

b. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in radius lengths.

c. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in meters.

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Kristin boards a Ferris wheel at the 3-o'clock and rides the Ferris wheel for one full rotation (as shown below). The radius of the Ferris wheel is 14 meters. Let s represent the varying number of meters Kristin has traveled along the circular path since the ride started.

a. Write an expression (in terms of s) to represent the number of radians Kristin has swept out since the ride started.

b. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in radius lengths.

c. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in meters.

Added by Vanesa P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shannon K

02/07/2022

Step 1

The number of radians swept out by Kristin since the ride started can be represented by the formula s/r, where s is the distance traveled and r is the radius of the Ferris wheel. So, the expression in terms of s would be s/14. Show more…

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Kristin boards the Ferris wheel at 3 o'clock and rides the Ferris wheel for one full rotation (as shown below). The radius of the Ferris wheel is 14 meters. Let s represent the varying number of meters Kristin has traveled along the circular path since the ride started. a. Write an expression (in terms of s) to represent the number of radians Kristin has swept out since the ride started. b. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in radius lengths. c. Write an expression (in terms of s) to represent Kristin's height above the center of the Ferris wheel measured in meters.

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Transcript

00:01 In this question we are given that christian votes a ferry wheel and writes a ferry field for one full rotation.

00:07 The radius of the ferris wheel is given as 14 meters and s is the varying number of meters that christian has traveled along the circular path since the rise started.

00:24 So this is a ferry wheel.

00:26 So in the first part the question is asking to write an explanation.

00:31 To represent the number of radiance that christian has swept out since the right started.

00:38 So, thus basically, s is the circumference of this circle.

00:45 So here if we write, so circumference is given as s.

00:52 Now, we know a formula that s is equal to r theta, where s is the circumference, r is the radius and theta is the angle swept.

01:05 So here, so here s is represented by s is equal to r that is 14 multiplied by theta, where theta is the number of radiance swept.

01:17 So theta is equal to s over 14 radiance.

01:23 So this is the expression for the radiance that christian has swept.

01:32 The right is started in terms of s.

01:34 Now the b part is we have to write an expression in terms of s about so that the expression represent christian's height above the center of the ferris wheel measured in radius length.

01:52 So suppose theta is the angle swept and r is the radius...

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