ZuoTi.Pro
Question

A sail boat is traveling east at a speed of 10 mph while the wind is...

A sail boat is traveling east at a speed of 10 mph while the wind is blowing at 20 mph from the north.(a) At what speed and (b) in what direction does the sailor feel the relative wind blowing in his face ?
science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

here,

speed of boat , v1 = 10 mph i

speed of wind , v2 = 20 mph j

the speed of wind relative to sailor , v21 = v2 - v1

v21 = - 10 mph i + 20 mph j

a)

the speed of boat , |v| = sqrt(v1^2 + v2^2)

|v| = sqrt(10^2 + 20^2) = 22.4 mph

b)

the direction , theta = arctan(20/10)

theta = 63.4 degree North of West

0 0
Add a comment
Know the answer?
Add Answer to:
A sail boat is traveling east at a speed of 10 mph while the wind is...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • You sail a boat due north with a speed of vo 8 knots. TheTell-tale, which shows...

    You sail a boat due north with a speed of vo 8 knots. TheTell-tale, which shows the direction of the wind relative to the boat, points due east. Your boat then turns and sails due east at the same speed. The tell-tale now points 53 degrees north of west. What is the wind speed (relative to earth)? [The units for your answer will be knots. Enter your answer to one decimal place.] 0o Tell-tale

  • An airplane is flying with a constant altitude at a speed of 475 mph in a...

    An airplane is flying with a constant altitude at a speed of 475 mph in a direction 25° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 30 mph in a direction 85° north of east. Yes a. Start by drawing a vector diagram for this situation. Did you draw a diagram? Great! Your diagram might look something like this: Wind New Path Original Path b. If the pilot does not correct...

  • 1. A boat can travel at 25 mph wrt the water. If the boat is in...

    1. A boat can travel at 25 mph wrt the water. If the boat is in a river that flows East at 10 mph, and we would like the boat to go straight across the river, at what angle should the boat point and what is its speed relative to the shore? 2. A boat travels at 25 mph wrt the river, 20°west of north. The river flows east at 10 mph. What is the velocity of the boat wrt...

  • A device that is used to measure wind speed is called an anemometer. When it measures...

    A device that is used to measure wind speed is called an anemometer. When it measures the wind on a moving object the measured value is called the apparent wind. A boat carries onboard an anemometer and measures the apparent wind velocity as 30 km/h, coming from an apparent direction of 15◦ east of north. At that time the boat is traveling at 16 km/h at 55◦ east of north relative to the ground. What is the magnitude and direction...

  • Suppose that the wind is blowing at a speed of 30 mph toward the southeast. A...

    Suppose that the wind is blowing at a speed of 30 mph toward the southeast. A pilot wishes to know the airspeed and the direction in which he should fly in order to end up heading due east with ground speed of 400 mph Determine the necessary airspeed and direction for the pilot.

  • A 280-m-wide river flows due east at a uniform speed of 4.4m/s. A boat with a...

    A 280-m-wide river flows due east at a uniform speed of 4.4m/s. A boat with a speed of 6.9m/s relative to the water leaves the south bank pointed in a direction 33owest of north. What is the (a) magnitude and (b)direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the...

  • A 200-m-wide river flows due east at a uniform speed of 3.4m/s. A boat with a...

    A 200-m-wide river flows due east at a uniform speed of 3.4m/s. A boat with a speed of 8.4m/s relative to the water leaves the south bank pointed in a direction 34o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take...

  • A 250-m-wide river flows due east at a uniform speed of 4.0m/s. A boat with a...

    A 250-m-wide river flows due east at a uniform speed of 4.0m/s. A boat with a speed of 6.9m/s relative to the water leaves the south bank pointed in a direction 26o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take...

  • An airplane has a speed of 265 km/h relative to the air. There is a wind...

    An airplane has a speed of 265 km/h relative to the air. There is a wind blowing at 75 km/h at 30° north of east relative to Earth. In which direction should the plane head to land at an airport due north of its present location? ° west of north What is the plane's speed relative to the ground?

  • A 250-m-wide river flows due east at a uniform speed of 2.8m/s. A boat with a...

    A 250-m-wide river flows due east at a uniform speed of 2.8m/s. A boat with a speed of 7.7m/s relative to the water leaves the south bank pointed in a direction 31o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT