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A fan has four blades attached to a central shaft. The blades are lf = 17 cm long and each blade have a uniformly distributed mass of mf = 0.11 kg. The fan spins up from rest to an angular speed of ωf = 111 rad/s in tf = 0.85 s. Give an expression for the average torque τf that the fan’s motor exerts on the fan as it spins up.  τ =

A fan has four blades attached to a central shaft. The blades are lf = 17 cm long and each blade have a uniformly distributed mass of mf = 0.11 kg. The fan spins up from rest to an angular speed of ωf = 111 rad/s in tf = 0.85 s. Give an expression for the average torque τf that the fan’s motor exerts on the fan as it spins up.  τ =

College Physics
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)...
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A fan has four blades attached to a central shaft. The blades are lf = 17 cm long and each blade have a uniformly distributed mass of mf = 0.11 kg. The fan spins up from rest to an angular speed of ωf = 111 rad/s in tf = 0.85 s.

Give an expression for the average torque τf that the fan’s motor exerts on the fan as it spins up. 

τ =

The image displays a keypad layout with a combination of Greek letters and mathematical symbols on the left side and numbers with additional function keys on the right side. ### Left Section: This section contains a grid of Greek letters and mathematical symbols organized in four rows and three columns: 1. **First Row:** - α (alpha) - β (beta) - ΔL (change in length) 2. **Second Row:** - ΔLf (final change in length) - ωf (final angular velocity) - θ (theta) 3. **Third Row:** - d (distance) - g (acceleration due to gravity) - h (height) 4. **Fourth Row:** - j (current density) - k (thermal conductivity) - m (mass) 5. **Fifth Row:** - P (power) - t (time) - tf (final time) ### Right Section: This section comprises a numeric keypad along with additional function keys: - Numbers arranged in a typical keypad format: - Top Row: 7, 8, 9, with "HOME" - Second Row: 4, 5, 6, with an arrow pointing left - Third Row: 1, 2, 3, with an arrow pointing right - Bottom Row: plus (+), minus (-), 0, with "END" - Additional Keys: - Leftmost column includes: - ( (open parenthesis), ) (close parenthesis) - ↑ (up arrow), ↓ (down arrow) - / (division), * (multiplication) - √ (square root), O (possibly zero or symbol) - Bottom right corner: - BACKSPACE - DEL (delete) - CLEAR This grid appears to serve as a mathematical input tool, likely intended for use in scientific or mathematical educational software for calculations or symbolic representations.
Transcribed Image Text:The image displays a keypad layout with a combination of Greek letters and mathematical symbols on the left side and numbers with additional function keys on the right side. ### Left Section: This section contains a grid of Greek letters and mathematical symbols organized in four rows and three columns: 1. **First Row:** - α (alpha) - β (beta) - ΔL (change in length) 2. **Second Row:** - ΔLf (final change in length) - ωf (final angular velocity) - θ (theta) 3. **Third Row:** - d (distance) - g (acceleration due to gravity) - h (height) 4. **Fourth Row:** - j (current density) - k (thermal conductivity) - m (mass) 5. **Fifth Row:** - P (power) - t (time) - tf (final time) ### Right Section: This section comprises a numeric keypad along with additional function keys: - Numbers arranged in a typical keypad format: - Top Row: 7, 8, 9, with "HOME" - Second Row: 4, 5, 6, with an arrow pointing left - Third Row: 1, 2, 3, with an arrow pointing right - Bottom Row: plus (+), minus (-), 0, with "END" - Additional Keys: - Leftmost column includes: - ( (open parenthesis), ) (close parenthesis) - ↑ (up arrow), ↓ (down arrow) - / (division), * (multiplication) - √ (square root), O (possibly zero or symbol) - Bottom right corner: - BACKSPACE - DEL (delete) - CLEAR This grid appears to serve as a mathematical input tool, likely intended for use in scientific or mathematical educational software for calculations or symbolic representations.
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