What is the angular speed @o, in rad/s, of an object that completes 6.00 rev every 18.0 s?

Q: Problem 3 Give all answers for this problem to 2 significant figures. Convert the following vectors…

A: 3. (a) Convert the following vectors from Cartesian to polar form. r=x2+y2=42+-62=7.2 The direction…

Q: С. 25% D. 0.0075% E. 10% 9. The specific heat of water is 4186 J/kg- C, which is twice higher than…

A:

Q: (b) Find the angle e between A and B. SOLUTION Evaluate the magnitudes of A and B using the…

A: (b) The magnitude of vectors A and B is, A=Ax2+Ay2=32+12=10=3.162B=Bx2+By2=-12+12=2=1.414

Q: Where a>b the distance between the points (a, c) and (b, c) is (a-b) units. true or false

A: Given that a > b. We have to find distance between points (a, c) and (b, c).  Take c as origin.

Q: Vector A has Magnitude = 15, and direction = 230º. Write it in vector notation (i.e. as Ax i + Ay j)

A: It is given that,

Q: A force vector has a magnitude of 592 newtons and points at an angle of 45° below the positive x…

A: The magnitude of the force vector is The angle of the force F below the +x axis is

Q: In step 4, how are we supposed to be adding a +67.5 instead of a -67.5, when the number after…

A: From the Coulomb's Law, we know, force between two charges is given by F = kq1q2/r2 Let, q1 = 6.00…

Q: Vector A⃗  points in the negative y direction and has a magnitude of 5 units. Vector B⃗  has twice…

A: The expression for the vector representation of (A+B):

Q: A student went to Wonderland, where they lined up for the Leviathan roller coaster. After waiting 2…

A: To calculate from Displacement-time graph, Draw a tangent at the point at which instantaneous…

Q: Vector A has Magnitude = 15, and direction = 230º. Write it in vector notation (i.e. as Ax i + Ay j)…

A:

Q: Using the coordinate system I gave you, and assuming the ball is dropped from the top of the 45-…

A: This problem can be solved using basic formula of equations of linear motion.

Q: (a) Number (b) Number i 3.36 i 1.80 Units m/s Units m/s

A:

Q: You go on a long hike by first walking 25.0 km southeast from your car. You then stop and camp for…

A: Consider the vector diagram for the given motion as follows.

Q: What is the vector B inthe same direction as the vector A (-21, 42, 63) cm, but with a magnitude of…

A: Solution

Q: An object is dropped from rest and takes 2.25 seconds to reach the ground below. From what distance…

A: Given : vo = 0 (because object is dropped from rest) y = 0 (because finally the object reaches the…

Q: This explanation is very confusing.  Can you be so kind and detail the steps and math calculations.…

A:

Q: Consider the vector whose x- and y-components are given to be 3.3710 and 3.9645, respectively.…

A: Given data-                          x component of  vector (A→) = 3.3710                          y…

Q: When vector à is added to vector B the result is the vector 3î – 4ĵ + 2k. When the vector 2à is…

A: When vector A is added to vector B, the result of the addition of these vectors is given as,…

Q: This is the wrong answer. Also it needs 3 significant figures. Still wrong. Need to find area under…

A: From the graph it is clear that it is straight line passing through origin. So, the equation for…

Q: Problem 2: For the image shown, the capacitors have the following values: C1 = 2.95*10^-6, C2 =…

A: Given,   Total capacitance, C = 5.94×10-6 F               Potential (V) =  81 V

Q: A teenager walks 191 meters north to their friends house and gets therelin 5 min. They forgot their…

A: suppose total distance when he returns to home is X. We have given, He travels 191m in 5 min. let us…

Q: A vector A has a negative x component 3 units in length and positive y component 2 units in length.…

A:

Q: An object is dropped from rest and takes 2.41 seconds to reach the ground below. From what distance…

A: The height from which the object was dropped can be determined by the following kinematics equation.…

Q: A woman walks 192 m in the direction 56° east of north, then 164 m directly east. Find (a) the…

A:

Q: A student went to Wonderland, where they lined up for the Leviathan roller coaster. After waiting 2…

A: In Order to find instantaneous velocity from the graph: In a graph of displacement versus time, the…

Q: Carol and Robin share a house. To get to work, Carol walks north 2.0 km while Robin drives west 7.5…

A: We have to determine the distance between carol and robin workplaces. We are aware that Robin drives…

Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

A:

Q: A vector has the components Ax=22mAx=22m and Ay=16mAy=16m. a) What is the magnitude of this vector?…

A: Given value--- components Ax=22m and Ay=16m. We have to find --- a) What is the magnitude of this…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.