### Problem Statement:A ceiling fan has 17-inch blades (so the radius of the circular fan is 17 inches). Suppose the linear speed of the tip of a blade is 9 feet per second.**(a)** Find the angular speed of the fan in radians per minute.**(b)** Find the number of revolutions a blade makes per minute.Do not round any intermediate computations, and round your answer to the nearest whole number.---### Provided Information:- Radius of the fan: 17 inches- Linear speed of the blade tip: 9 feet per second### Required Answers:- (a) Angular speed: ____ radians per minute- (b) Number of revolutions per minute: ____### Explanation:To solve the problem, you first need to note the required angular speed and the number of revolutions per minute based on given information. Here’s a step-by-step guideline to follow:1. **Convert the radius to feet** (since the linear speed is given in feet per second). - 1 foot = 12 inches - Therefore, 17 inches = 17 / 12 feet2. **Determine the angular speed** using the relationship: - Linear speed \(v\) = Radius \(r\) x Angular speed \(\omega\) - Given \(v = 9\) feet/second and \(r = 17/12\) feet. From \(v = r\omega\): \[ \omega = \frac{v}{r} = \frac{9 \, \text{feet/second}}{17/12 \, \text{feet}} \] - The result will be in radians per second.3. **Convert the angular speed from seconds to minutes**: - \(\omega \text{ (minutes)} = \omega \text{ (seconds)} \times 60\)4. **Determine the number of revolutions per minute**: - 1 revolution = \(2\pi\) radians - Therefore, the number of revolutions per minute \(N\) can be found by: \[ N = \frac{\omega \, \text{(in radians per minute)}}{2\pi} \]### Input Answers:- (a) Angular speed: ____ radians per minute- (b) Number of revolutions per minute: __

Name: ### Problem Statement:A ceiling fan has 17-inch blades (so the radius
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: ### Problem Statement:A ceiling fan has 17-inch blades (so the radius of the circular fan is 17 inches). Suppose the linear speed of the tip of a blade is 9 feet per second.**(a)** Find the angular speed of the fan in radians per minute.**(b)** Find

The radius of circular fan, r = 17 inches. The linear speed of tip of a blade, v = 9 feet per…

Science

Physics

A ceiling fan has 17-inch blades (so the radius of the circular fan is 17 inches). Suppose the linear speed of the tip of a blade is 9 feet per second. (a) Find the angular speed of the fan in radians per minute. (b) Find the number of revolutions a blade makes per minute. Do not round any intermediate computations, and round your answer to the nearest whole number. (a) Angular speed:[] radians per minute (b) Number of revolutions per minute:

A ceiling fan has 17-inch blades (so the radius of the circular fan is 17 inches). Suppose the linear speed of the tip of a blade is 9 feet per second. (a) Find the angular speed of the fan in radians per minute. (b) Find the number of revolutions a blade makes per minute. Do not round any intermediate computations, and round your answer to the nearest whole number. (a) Angular speed:[] radians per minute (b) Number of revolutions per minute:

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

A wheel with a 21 inch diameter is turning at a rate of 44 revolutions per minute. To the nearest inch, what is the speed of a point on the rim in in./min?
Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) |rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) |rad/s?
a) What is the period of rotation of Venus in seconds? (The period of rotation of Venus in hours is 5,832.5 hr.) Answer in seconds (b)What is the angular velocity (in rad/s) of Venus? (Enter the magnitude.) Answer in rad/s (c) Given that Venus has a radius of 6.1 ✕ 106 m at its equator, what is the linear velocity (in m/s) at Venus's surface? (Enter the magnitude of the linear velocity at the equator.) Answer on m/s
A 6 - m string wounded on the rim of a wheel (r = 10.28 cm) is being pulled out at a rate of 61 cm/s. Find the total number of revolutions the wheel should turn to unwound the whole string. Round your answer to 2 decimal places.
Angular speed (ω) is related to speed (v) as: v = r × ω, where r is radius. Determine the dimension of angular speed ω in terms of [L], [M], [T].
A physics experiment is set up using two pulleys, a string, and a weight as shown below. The larger pulley has a radius of 14 centimeters, and the smaller pulley has a radius of 8 centimeters. The distance between the centers of the pulleys is 56 centimeters. The string is pulled tightly across both pulleys so that F is a common tangent of the pulleys. Find the length of string from A to B to the nearest tenth of a centimeter. A weight O 56.0 cm O 22.0 cm O 55.7 cm O 58.5 cm
Suppose the width of your fist is 6.4 inches and the length of your arm is 32.6 inches. Based on these measurements, what will be the angular width (in degrees) of your fist held at arm’s length?
A tire for a car is 24 inches in diameter. If the car is traveling at a speed of 30m(i)/(h)r, find the number of revolutions the tire makes per minute. (Round your answer to the nearest hundredth.) re(v)/(m)in
Suppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a)What torque (in N · m) is exerted? (Enter the magnitude.) (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 21.6 N exerted 2.50 cm from the axis? (Enter the magnitude.)
A person sitting on the edge of a 1.5-m radius merry-go-round makes 18 revolutions. How far did they go linearly?
A hamster gets on a stationary wheel with a radius of 0.15 m and runs until the wheel rotates at an angular speed of 12 radians per second in 4 seconds. What is the angular acceleration of the wheel in radians per second squared?
The angular position of a point on a rotating wheel is given by θ = 1 + 8t^2 +5t^3, where θ is in radians and t is in seconds. (a) What is its angular velocity at t = 3 s? (b) Calculate its angular acceleration at t = 6 s.