How do you find the velocity of a river current?

How do you find the velocity of a river current?

Answer

1. The distance going upstream and downstream is the same.
2. Time going upstream is 3 hours.
3. Time going downstream is 2 hours.
4. Speed of the boat (r) is 5 miles per hour.
5. Distance (d) = rate (r) X time (t)

How do you find the time on a river boat problem?

The time taken by the boat t=d/|→vb|=30/5=6hr t = d / | v → b | = 30 / 5 = 6 h r . In upstream motion, the speed of the boat is equal to the difference of the speed of boat in still water and the speed of river water.

What is the velocity direction of the boat relative to the shore?

The velocity of the boat relative to the shore is vBS. It is the vector sum of the velocity vBW of the boat relative to the water and the velocity vWS of the water relative to the shore: vWS = vBW+vWS.

How do you calculate river discharge?

Discharge = V x D x W If length is measured in feet and time in seconds, Discharge has units of feet3/sec or cubic feet per second (cfs). Depth times Width gives the cross-sectional area. The shape of the channel is important because of the reduction in velocity due to friction along the channel margins.

How do we calculate the acceleration?

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.

When a boat tends to cross a river in shortest time?

When he crosses the river with the shortest time one component of boat velocity is opposite to velocity of water and the other component is perpendicular to velocity of water. here shortest path=x and time=12.5 min = 750 sec. vB=13m/s=20m/min. Hence, the correct answer is option C.

How can you measure the speed of a boat moving in water?

Pitometer logs (also known as pit logs) are devices used to measure a ship’s speed relative to the water. They are used on both surface ships and submarines. Data from the pitometer log is usually fed directly into the ship’s navigation system.

What is velocity in still water?

Velocity of boat in still water is 13m/s.

How do you add two velocities?

Adding velocities. Consider two objects. The first object moves with velocity v relative to the second object, while the second object moves with velocity u with respect to an observer. In Newtonian physics the observer would say that the velocity of the first object is the sum of the two velocities.

How is the speed of a boat related to the distance?

In our problem, the 80 m corresponds to the distance A, and so the average speed of 4 m/s (average speed in the direction straight across the river) should be substituted into the equation to determine the time. It requires 20 s for the boat to travel across the river. During this 20 s of crossing the river, the boat also drifts downstream.

How does the current affect the velocity of a boat?

The river current influences the motion of the boat and carries it downstream. The motorboat may be moving with a velocity of 4 m/s directly across the river, yet the resultant velocity of the boat will be greater than 4 m/s and at an angle in the downstream direction.

Is the velocity of a motorboat the same as a speedometer?

In such instances as this, the magnitude of the velocity of the moving object (whether it be a plane or a motorboat) with respect to the observer on land will not be the same as the speedometer reading of the vehicle.

What happens if a boat heads straight across a river?

If a motorboat were to head straight across a river (that is, if the boat were to point its bow straight towards the other side), it would not reach the shore directly across from its starting point. The river current influences the motion of the boat and carries it downstream.