rope wrapped around a pulley of radius r is pulled with a force F, as seen in the figure. The magnitude of the torque due to F about the pivot point is determined by |τ|=|rxF|=rFsinθ. Choose the value that correctly identifies the angle θ that results in a correct calculation of torque. a) 90 degrees b) 180 degrees c) 0 degrees d) Not enough information
rope wrapped around a pulley of radius r is pulled with a force F, as seen in the figure. The magnitude of the torque due to F about the pivot point is determined by |τ|=|rxF|=rFsinθ. Choose the value that correctly identifies the angle θ that results in a correct calculation of torque. a) 90 degrees b) 180 degrees c) 0 degrees d) Not enough information
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A rope wrapped around a pulley of radius r is pulled with a force F, as seen in the figure.
The magnitude of the torque due to F about the pivot point is determined by |τ|=|rxF|=rFsinθ.
Choose the value that correctly identifies the angle θ that results in a correct calculation of torque.
a) 90 degrees
b) 180 degrees
c) 0 degrees
d) Not enough information
![The image depicts a simple mechanical system consisting of a wheel and a lever arm. The wheel is shown in a horizontal orientation, and there is a lever arm positioned vertically to the left side of the wheel. The lever is positioned such that it contacts the wheel at a perpendicular angle, suggesting that it is applying a tangential force on the edge of the wheel.
Key elements in the diagram are:
1. **Wheel**: A circular disk with a marked central axis. There is a radius \( r \) marked from the center of the wheel to the point of contact with the lever.
2. **Lever Arm**: A vertical arm that applies a downward force on the edge of the wheel.
3. **Force (\( F \))**: Denoted by an arrow pointing downward, indicating the direction of the applied force by the lever arm on the wheel.
The diagram represents the concept of torque in physics, where the force applied at a distance from the pivot point (the center of the wheel) causes the wheel to rotate. The torque (\( \tau \)) can be calculated using the formula:
\[ \tau = r \times F \]
where \( \tau \) is the torque, \( r \) is the radius of the wheel, and \( F \) is the force applied by the lever arm. This principle is fundamental in understanding rotational motion and the mechanical advantages provided by levers and wheels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff870bc0c-6dc6-442b-9322-5e406628d571%2F30ea9107-68ff-45ba-95f8-dab66fa85463%2Fmru88s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image depicts a simple mechanical system consisting of a wheel and a lever arm. The wheel is shown in a horizontal orientation, and there is a lever arm positioned vertically to the left side of the wheel. The lever is positioned such that it contacts the wheel at a perpendicular angle, suggesting that it is applying a tangential force on the edge of the wheel.
Key elements in the diagram are:
1. **Wheel**: A circular disk with a marked central axis. There is a radius \( r \) marked from the center of the wheel to the point of contact with the lever.
2. **Lever Arm**: A vertical arm that applies a downward force on the edge of the wheel.
3. **Force (\( F \))**: Denoted by an arrow pointing downward, indicating the direction of the applied force by the lever arm on the wheel.
The diagram represents the concept of torque in physics, where the force applied at a distance from the pivot point (the center of the wheel) causes the wheel to rotate. The torque (\( \tau \)) can be calculated using the formula:
\[ \tau = r \times F \]
where \( \tau \) is the torque, \( r \) is the radius of the wheel, and \( F \) is the force applied by the lever arm. This principle is fundamental in understanding rotational motion and the mechanical advantages provided by levers and wheels.
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