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= 11 s to go from rest to full speed.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...
icon
Related questions
Question

8.2 please answer part f, other parts are answered. I get 6.13 for part f, but it is wrong

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
Omax:
in radians per second.
Numeric : A numeric value is expected and not an expression.
Omax =
354.4
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 =
31.4
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.
6.123
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 =
23290
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.
67.39
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 Omax: in radians per second. Numeric : A numeric value is expected and not an expression. Omax = 354.4 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 = 31.4 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. 6.123 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 = 23290 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. 67.39 y =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Electromagnetic waves
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning