Crossing Mohawk Bridget: Vector Diagram & Time Needed

  • Thread starter pharaoh
  • Start date
In summary, Brigget is attempting to swim from the south shore to Llenorce with a swimming speed of 5 m/s and a current of 3 m/s eastbound. The width of the Mohawk River at this point is 200 meters. To reach her destination, she must swim in a specific direction to counteract the current. After finding the net velocity and using the formula for average velocity, it was determined that she must swim at a heading that is slightly upstream relative to the moving water. With an average velocity of 4 m/s, it will take her 50 seconds to cross the river.
  • #1
pharaoh
49
0
Brigget decides to swim over to Llenorce from the south shore. given she can swim at 5 m/s, the current is 3 m/s eastbound and the width of the mohawk river is 200 meter at that point. in what specific direction must she travel to reach its destination? Diagram the vectors, find her net velocity and detemine the time needed to cross the river?
 
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  • #2
Show us your attempt to solve this problem.
 
  • #3
25-9=16
square root of 16= 4 m/s
average velocity= d/t
200/4= 50 seconds
 
  • #4
pharaoh said:
25-9=16
square root of 16= 4 m/s
average velocity= d/t
200/4= 50 seconds
That looks good. It appears you have recognized that she must swim somewhat upstream to cancel the effect of the current. Part of the question was the direction she must travel to accomplish this. I assume they meant travel relative to the moving water rather than the shore. Did you find the heading?
 

Related to Crossing Mohawk Bridget: Vector Diagram & Time Needed

1. What is a vector diagram?

A vector diagram is a graphical representation of vectors, which are quantities that have both magnitude (size) and direction. It is commonly used in physics and engineering to depict the direction and magnitude of forces, velocities, and other physical quantities.

2. How is a vector diagram used in "Crossing Mohawk Bridge"?

In "Crossing Mohawk Bridge," a vector diagram is used to illustrate the forces acting on the bridge as a train passes over it. These forces include the train's weight, wind, and the tension in the bridge's cables. By analyzing the vector diagram, engineers can determine the strength and stability of the bridge.

3. What is the significance of time in "Crossing Mohawk Bridge"?

The time needed for a train to cross over the Mohawk Bridge is an important factor in determining the bridge's safety and efficiency. The longer the train takes to cross, the longer the bridge is subjected to the forces acting on it, which can affect its structural integrity.

4. How do you calculate the time needed for a train to cross over Mohawk Bridge?

To calculate the time needed for a train to cross over Mohawk Bridge, you would need to know the train's speed, the length of the bridge, and the distance between the train's center of mass and the bridge's center of mass. Using this information, you can use the equation time = distance/speed to determine the time needed for the train to cross.

5. Why is understanding vector diagrams and time important in bridge engineering?

Understanding vector diagrams and time is crucial in bridge engineering because it helps engineers design and build safe and efficient bridges. By analyzing the forces and time involved in a bridge's design, engineers can ensure that the bridge can withstand the forces and stresses it will experience while in use, ultimately ensuring the safety of those who use it.

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