A helicopter has a speed in calm air of 170 kmh-¹ and it's travelling on abearing of 120° relative to the air. The wind is blowing at a speed of30 kmh from the south-west.Take unit vectors i to point east and j to point north.(a) Express the original velocity b of the helicopter relative to the air andthe velocity w of the wind in component form, giving the numericalvalues in km h¹ to two decimal places.(b) Express the resultant velocity v of the helicopter in component form,giving numerical values in km h¹ to two decimal places.(c) Hence find the magnitude and direction of the resultant velocity v ofthe helicopter, giving the magnitude in km h¹ to one decimal place andthe direction as a bearing to the nearest degree.

Step 1: Step 2: Step 3: Step 4:

Answered: A helicopter has a speed in calm air of…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

See similar textbooks

Question

A helicopter has a speed in calm air of 170 kmh-¹ and it's travelling on a
bearing of 120° relative to the air. The wind is blowing at a speed of
30 kmh from the south-west.
Take unit vectors i to point east and j to point north.
(a) Express the original velocity b of the helicopter relative to the air and
the velocity w of the wind in component form, giving the numerical
values in km h¹ to two decimal places.
(b) Express the resultant velocity v of the helicopter in component form,
giving numerical values in km h¹ to two decimal places.
(c) Hence find the magnitude and direction of the resultant velocity v of
the helicopter, giving the magnitude in km h¹ to one decimal place and
the direction as a bearing to the nearest degree.

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
I need help with a University Physics 1 (Unit Measurement and Vectors) problem with explanations upon it: A spy report about a suspected car reads as follows. "The car moved 2.00 km towards the east, made a perpendicular left turn, ran for 500 m, made a perpendicular right turn, ran for 4.00 km and stopped". Find the displacement of the car (i.e. Magnitude Resultant and Resultant Direction (angle)).
Vector A vec is in the direction 34.0 clockwise from the -yaxis. The x-component of A vec is Ax = -16.0 m. (a) What is the y-component of A vec ? (b) What is the magnitude of A vec ?
Given vector A = (3.00i - 2.00j)m and vector B = (-2.00i + 2.00j)m determine vector C if C = 3A - B. Answers should have three significant figures and each component should have units. Remember to leave a space between your numerical values and the units.
1.53 · Given two vectors A = -2.00î + 3.00î + 4.00k and B = 3.00î + 1.00ĵ – 3.00k, do the following. (a) Find the mag- nitude of each vector. (b) Write an expression for the vector differ- ence A - B using unit vectors. (c) Find the magnitude of the vector difference Á – B. Is this the same as the magnitude of B – Ả? Explain.
You are on a treasure hunt and your map says "Walk due west for 23.1 paces, then walk 40.0° north of west for 48.7 paces, and finally walk due north for 30.7 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west? (a) Number i (b) Number i T Units Units B OB W A N S E Start
1.3). Jisoo drives 5.25 km, 25° W of N, then 2.50 km, 65° S of W, and then 1.50 km, 345° w/ respect to the +x-axis. Find the magnitude and direction of the resultant displacement, using the method of components.
Given two vectors A= -2.0Oi + 3.00j +4.00k and B= 3.00i + 1.0oj -3.00k, do the following. (a) Find the magnitude of each vector. (b) Write an expression for the vector difference A - B using unit vectors. (c) Find the magnitude of the vector difference A - B Is this the same as the magnitude of B – A?

SEE MORE QUESTIONS

Recommended textbooks for you

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS