An invented robot can comprehend time through resultant vector once the hour hand and minute hand vectors were added together. Assuming that both vectors point from the center, outward. The length of the hour hand is 5.10 cm while the length of the minute hand is 10.50 cm Follow this given format in answering each sub-item: a. Draw the position of the hour and minute on clock for time configuration. Label with relevant angles and magnitudes b. Decompose the components of each vector along the x and y direction c. Calculate for the resultant vector and express in the form required in each item What would you tell the robot if the current time is: A. 10:30 AM, in bearing form? (FORM: magnitude – direction angle B. 1:25 PM, in unit vector form? (FORM where Ã = Ā, + Ãy = Ax î + Ayj. )

An invented robot can comprehend time through resultant vector once the hour hand and minute hand vectors were added together. Assuming that both vectors point from the center, outward. The length of the hour hand is 5.10 cm while the length of the minute hand is 10.50 cm Follow this given format in answering each sub-item: a. Draw the position of the hour and minute on clock for time configuration. Label with relevant angles and magnitudes b. Decompose the components of each vector along the x and y direction c. Calculate for the resultant vector and express in the form required in each item What would you tell the robot if the current time is: A. 10:30 AM, in bearing form? (FORM: magnitude – direction angle B. 1:25 PM, in unit vector form? (FORM where Ã = Ā, + Ãy = Ax î + Ayj. )

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 2.3CYU: Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...

See similar textbooks

Similar questions

A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
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 .
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
Consider the equation y=mt+b, where the dimension of y is length and the dimension of t is time, and mand bare constants. What are the dimensions and SI units of (a) mand (b) b ?
Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
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?
A small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15 north of east. Use the analytical method to find the total distance the plane covers from the starting point, and the geographic direction of its displacement vector. What is its displacement vector?