A Ferris wheel has a 48-foot radius and the center of the Ferris wheel is 54 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Kevin boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Kevin has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Kevin to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Kevin's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Kevin's height above the ground (in feet) in terms of t. f(t) Preview

A Ferris wheel has a 48-foot radius and the center of the Ferris wheel is 54 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Kevin boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Kevin has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Kevin to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Kevin's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Kevin's height above the ground (in feet) in terms of t. f(t) Preview

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The minute hand on a watch is 2.00 cm in length. Use a coordinate system in which the y-axis points toward the 12 on the watch face. Part A What is the displacement vector of the tip of the minute hand from 8:00 to 8:20 a.m.? Enter the x and y components of the displacement vector in centimeters separated by a comma. ► View Available Hint(s) ——| ΑΣΦ Arz, Ary= Submit Part B Ar. Ary 0,0 cm Submit What is the displacement vector of the tip of the minute hand from 8:00 to 9:00 a.m.? Enter the x and y components of the displacement vector in centimeters separated by a comma. ► View Available Hint(s) Previous Answers Sw Correct ? cm Review
The tolerance is -+1 in the 3rd significant digit
A Ferris wheel rotating at 25 rad/s slows down with a constant rate of magnitude 3.7 rad/s2. How many revolutions does it make before coming to a stop? Express your answer to 1 decimal place.
A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. 1. What is the linear speed of the blade tip? Express your answer in meters per second. 2. What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, gg? Express your answer as a multiple of gg. 3.
An inclined plane has angle theta with respect to the vertical. A. Find an expression for the components in the direction of the plane. B. Find an expression for the component of gravity in the direction perpendicular to the plane. C. Sketch figures which illustrate parts a and b above; highlight and label the results.
A three-blade wind turbine, which spins perpendicularly to the ground, is set on a pole that is 38 m tall and completes 5 revolutions in one minute. The length of one blade is approximately 4 m long. One particular blade lies parallel to the ground before the turbine started to spin. a) What is the equation that models the height of tip of this blade as a function of time (in seconds)?
Answer a and c
1 of 1. ▸ Part A Locate the centroid of the parabolic area. Take a = 7 in, h=19 in (Figure 1) Express your answer to three significant figures and include the appropriate units. Value Submit A 4 Provide Feedback Bequest Answer → Units
A child rolls a ball on a level floor 4.1 m to another child. Part A If the ball makes 7.0 revolutions, what is its diameter? Express your answer to two significant figures and include the appropriate units. d = ________
The minute hand on a watch is 1.00 cm in length. Use a coordinate system in which the y-axis points toward the 12 on the watch face. Part A What is the displacement vector of the tip of the minute hand from 8:00 to 8:20 a.m.? Enter the x and y components of the displacement vector in centimeters separated by a comma. ► View Available Hint(s) Arx, Ary: = Submit || ΑΣΦ Previous Answers ? cm
You have walked around the rim of a large circle whose radius is 2.1 miles. The GPS tells you that you have walked a path length of 8 miles. What angular distance (in radians) have you walked?
Pls help ASAP