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Problem 2: A high school physics instructor catches one of his students chewing gum in class. He decides to discipline the student by asking that he stick the gum to a fan and calculate how fast the fan is moving when the gum gets thrown off. The label says that the diameter of the fan is d = 39 cm, and at full speed it turns at a rate of f = 55 rev/s, and that the fan is guaranteed to accelerate uniformly. The fan takes t = 1l s to go from rest to full speed. Randomized Variables d = 39 cm f= 55 rev/s t = 11 s Part (a) Calculate the maximum the angular velocity of the fan wmax, in radians per second. Numeric : A numeric value is expected and not an expression. Omax = Part (b) Surprisingly, the gum seems to remain stuck to the fan at this speed. Calculate the angular acceleration of the gum a, in radians per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. a = Part (c) Calculate the tangential component of the acceleration of the gum atan, in meters per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. aran Part (d) What is the magnitude of the centripetal acceleration of the gum apad, in meters per square second, when the fan reaches full speed? Numeric : A numeric value is expected and not an expression. arad = Part (e) What is the direction of the centripetal acceleration of the gum, as the fan is turning at top speed? MultipleChoice : 1) There is no radial component of the acceleration. 2) In the direction of rotation. 3) Opposite the direction of rotation. 4) Radially inward. 5) Radially outward.

Problem 2: A high school physics instructor catches one of his students chewing gum in class. He decides to discipline the student by asking that he stick the gum to a fan and calculate how fast the fan is moving when the gum gets thrown off. The label says that the diameter of the fan is d = 39 cm, and at full speed it turns at a rate of f = 55 rev/s, and that the fan is guaranteed to accelerate uniformly. The fan takes t = 1l s to go from rest to full speed. Randomized Variables d = 39 cm f= 55 rev/s t = 11 s Part (a) Calculate the maximum the angular velocity of the fan wmax, in radians per second. Numeric : A numeric value is expected and not an expression. Omax = Part (b) Surprisingly, the gum seems to remain stuck to the fan at this speed. Calculate the angular acceleration of the gum a, in radians per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. a = Part (c) Calculate the tangential component of the acceleration of the gum atan, in meters per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. aran Part (d) What is the magnitude of the centripetal acceleration of the gum apad, in meters per square second, when the fan reaches full speed? Numeric : A numeric value is expected and not an expression. arad = Part (e) What is the direction of the centripetal acceleration of the gum, as the fan is turning at top speed? MultipleChoice : 1) There is no radial component of the acceleration. 2) In the direction of rotation. 3) Opposite the direction of rotation. 4) Radially inward. 5) Radially outward.

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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Problem 2: A high school physics instructor catches one of his students chewing gum in class. He decides to discipline the student by asking that he stick the gum to a fan and calculate how fast the fan is moving when the gum gets thrown off. The label says that the diameter of the fan is d = 39 cm, and at full speed it turns at a rate of f = 55 rev/s, and that the fan is guaranteed to accelerate uniformly. The fan takes t = 1l s to go from rest to full speed. Randomized Variables d = 39 cm f = 55 rev/s t = 11 s Part (a) Calculate the maximum the angular velocity of the fan Numeric : A numeric value is expected and not an expression. Omax: in radians per second. Omax = Part (b) Surprisingly, the gum seems to remain stuck to the fan at this speed. Calculate the angular acceleration of the gum a, in radians per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. a = Part (c) Calculate the tangential component of the acceleration of the gum atan, in meters per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. atan = Part (d) What is the magnitude of the centripetal acceleration of the gum apad, in meters per square second, when the fan reaches full speed? Numeric : Anumeric value is expected and not an expression. arad = Part (e) What is the direction of the centripetal acceleration of the gum, as the fan is turning at top speed? MultipleChoice : 1) There is no radial component of the acceleration. 2) In the direction of rotation. 3) Opposite the direction of rotation. 4) Radially inward. 5) Radially outward. Part (f) Calculate the tangential component of the acceleration of the gum aran.f in meters per square second, when the fan is at full speed. Numeric : A numeric value is expected and not an expression. a tanf = Part (g) Soon after reaching this speed, the gum becomes un-stuck from the fan blade. Determine the linear speed of the gum v, in meters per second, immediately after it leaves the fan. Numeric : A numeric value is expected and not an expression. y =
Transcribed Image Text:Problem 2: A high school physics instructor catches one of his students chewing gum in class. He decides to discipline the student by asking that he stick the gum to a fan and calculate how fast the fan is moving when the gum gets thrown off. The label says that the diameter of the fan is d = 39 cm, and at full speed it turns at a rate of f = 55 rev/s, and that the fan is guaranteed to accelerate uniformly. The fan takes t = 1l s to go from rest to full speed. Randomized Variables d = 39 cm f = 55 rev/s t = 11 s Part (a) Calculate the maximum the angular velocity of the fan Numeric : A numeric value is expected and not an expression. Omax: in radians per second. Omax = Part (b) Surprisingly, the gum seems to remain stuck to the fan at this speed. Calculate the angular acceleration of the gum a, in radians per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. a = Part (c) Calculate the tangential component of the acceleration of the gum atan, in meters per square second, as the fan is speeding up. Numeric : A numeric value is expected and not an expression. atan = Part (d) What is the magnitude of the centripetal acceleration of the gum apad, in meters per square second, when the fan reaches full speed? Numeric : Anumeric value is expected and not an expression. arad = Part (e) What is the direction of the centripetal acceleration of the gum, as the fan is turning at top speed? MultipleChoice : 1) There is no radial component of the acceleration. 2) In the direction of rotation. 3) Opposite the direction of rotation. 4) Radially inward. 5) Radially outward. Part (f) Calculate the tangential component of the acceleration of the gum aran.f in meters per square second, when the fan is at full speed. Numeric : A numeric value is expected and not an expression. a tanf = Part (g) Soon after reaching this speed, the gum becomes un-stuck from the fan blade. Determine the linear speed of the gum v, in meters per second, immediately after it leaves the fan. Numeric : A numeric value is expected and not an expression. y =
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