Concept explainers
To calculate: The magnitude of torque T as function of force
Answer to Problem 63E
The magnitude of torque T as function of force
Explanation of Solution
Given information:
When brakes are applied in a bicycle with help of downward force of p pounds on pedals, the crank which is of six-inch make a
Diagram of the above situation is provided below,
Formula used:
The magnitude of the torque T on the crank when downward force is applied on pedal is
Let
Mathematically the magnitude of cross product is expressed as,
Calculation:
When brakes are applied in a bicycle with help of downward force of p pounds on pedals, the crank which is of six-inch make a
Diagram of the above situation is provided below,
The angle
Let
Mathematically the magnitude of cross product is expressed as,
The magnitude of the torque T on the crank when downward force is applied on pedal is
Now, magnitude of
Now, magnitude of
Therefore, magnitude of torque is
Thus, the magnitude of torque T as function of force
To fill: The table “
Answer to Problem 63E
The complete table is
Explanation of Solution
Given information:
The table “
Consider the provided table “
Substitute the value of p as 15, the above relation,
Therefore, value of Tis
Substitute the value of p as 20, the above relation,
Therefore, value of Tis
Substitute the value of p as 25, the above relation,
Therefore, value of Tis
Similarly, the other values are evaluated.
Thus, the complete table is
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning