The robot moves the particle A (mass M) in the vertical plane using polar coordinate formulas r(t) = 1,2-0,6sin(2πt) [m] θ(t) = 0,5-1,5cos(2πt) [rad] in accordance with Determine the acceleration of the object in the θ direction [m/s2] at time t0=1.9s Use [m/s2] units GIVE ANSWER TO THREE DECIMALS
Q: Arotating fan completes 1180 revolutions every minute. Consider the tip of a blade, at a radius of…
A:
Q: Given vector E = 2i+3j, a unit vector in the direction of E is
A: Given data: Vector, E→=2i+3j Our question is to find the unit vector in the direction of the given…
Q: The position of an object at time is given by the parametric equations . x= 4t^2+2t , y=3t^2+4 Find…
A: The position of the object at time in x and y direction is given by, x = 4t^2 + 2t y = 3 t^2 +4 t…
Q: A remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the…
A:
Q: A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4…
A: Required to find the average speed of the robot.
Q: The eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t.…
A: Introduction: Kinematics helps to find out the velocity, acceleration of the particle at any time t…
Q: A two pound weight is hanging in a system that has acheived equilibrium (not moving. Find 7₁ and 7₂.…
A: W= 2 lbs
Q: An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In…
A:
Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…
A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required: The speed and direction of the object
Q: When a rocket reaches an altitude of a meters, it begins to travel along the parabolic path as shown…
A: Write the given data: equation of motiony-a2=bx ⋯⋯1wherea=40mb=154c=209 m/sh=93mlet the component…
Q: (a) Can a particle moving with instantaneous speed 6.00 m/s on a path with radius of curvature 4.00…
A: (a)yes (b)No
Q: (c) Calculate A +B 1 The magnitude is determined from the Pythagorean theorem. (d) Calculate A -E 9…
A:
Q: A particle P starts at time t = 0 s at the position x = -13 m y = -10 m. The velocity of the…
A:
Q: On the v(t) graph, what does the y-intercept represent?
A: A velocity-time graph will show the speed and direction of an object in motion over a specified…
Q: Obtain expressions in component form for the position vectors having the following polar…
A: Given polar co-ordinates : a→r=12.0 m, θ=160°b→r=3.80 cm, θ=80°c→r=24.0 in, θ=202°
Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…
A:
Q: Here are three displacements, each measured in me- ters: di = .0 and dz = 4.0î +3.0ĵ+2.0k. (a) What…
A:
Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j +.§ The expression 2N – M is: A) -12i- 36j +…
A:
Q: Find the speed and direction of an object with v,x-18 m/s and vy- 30 m/s. %3D O 24 m/s, 66 ° from…
A:
Q: The velocity of a particle is given by v- [16t'i + 4t'j + (5t + 2)k) m/s, where t is in seconds. If…
A:
Q: Given the following vectors: A = -3i; B = i-3j+5k; and C = 7i-15j (i)Find the magnitude and…
A:
Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…
A:
Q: For plane curvilinear motion with the displacement, r, expressed in polar coordinates as r = re,…
A:
Q: The velocity V of a par ticle moving in the xy plane is given by 7 - ( 5.50 - 5.00 )+ 9.00 7, with V…
A:
Q: The position vector of a particle of mass 0.05 kg is r (t) = 3 cos (4. t)i + 3 sin (4.t)j +10 t k…
A:
Q: A particle moves along a curve whose parametric equations are x = 3e-#, y = 4 sin 3t, z = 5 cos 3t…
A:
Q: At t = 0 an object starts from the origin and moves with a constant acceleration of a = ( − 4.72 –…
A:
Q: Here are a couple acceleration problems. Acceleration isn't necessarily constant. These problems…
A: When a particle is in motion, then the rate of change of position is known as the speed of the…
Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…
A:
Q: What is the magnitude What is the magnitude of C = A + B, in meters? of D = 2A - B, in meters?
A: The vectors A→=2.8i^+-3.6j^+-2.6k^ m, B→=2.1i^+-7.4j^+2.8k^ m Vector C→=A→+B→…
Q: A vehicle position is described by the polar coordinates r = 2(1 + cos3t)m and θ = 2e−3t rad, where…
A: Given: The position coordinate is 2(1+cos3t) . The angular position is 2e-3t. To…
Q: Two particles A and B start from rest at the origin s=0 and move along a straight line such that aA…
A: To find the distance between particles A and B, we need to integrate their respective velocities…
Q: Part (a) Using the coordinate system specified, give an expression for the acceleration of the car…
A:
Q: The flight path of the Rigelian hummingturtle as it searches for food has been experimentally…
A:
Q: The position vector for an electron is 7 = (1.2 m )î – (7.3 m )3 + (5.3 m )k. Find the magnitude of…
A:
Q: A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total…
A: Given: X-component of velocity (Vx) = 6.3 m/sY-component of velocity (Vy) = -2.5 m/s
Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…
A:
Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…
A: Given: x=(18.0 m/s)ty=(4.0 m/s)t-(4.90 m/s2)t2
Q: A particle moves along the X-axis. Its velocity (cm/s) versus t(s) is shown below. The magnitude of…
A: In above question we have a histogram The above histogram ( velocity vs time) In above histogram y…
Q: A particle's position is given as [(2.00 + 0.500 sin(0.4004))i + (3.00 + 0.500 sin(0.4004))5]…
A: Given: x(t) = [2.00+0.500 sin(0.400t)]i^ + 3.00+0.500 sin(0.400t)j^ +2.00t2 k^
Q: Here are three vectors in meters: á 1 = -6.60î + 8.70ĵ + 3.50k 2 = - 2.00î – 4.00ĵ + 2.00k d 3 =…
A: Given Data : The first vector is given as d1→=-6.60i^+8.70j^+3.50k^ The second vector is given as…
Q: What is the magnitude of the vector (17î − 27) m/s?
A:
Q: Given the displacement vectors A= (4.00 î - 8.00 j+ 5.00 k) m and B = (1.00 î + 9.00 j – 6.00 k) m,…
A:
Q: Determine the scalar equation of the plane with vector equation r = (2, -1, 3) + s(1, 2, -2) + t(-3,…
A:
The robot moves the particle A (mass M) in the vertical plane using polar coordinate formulas
r(t) = 1,2-0,6sin(2πt) [m]
θ(t) = 0,5-1,5cos(2πt) [rad]
in accordance with
Determine the acceleration of the object in the θ direction [m/s2] at time t0=1.9s
Use [m/s2] units
GIVE ANSWER TO THREE DECIMALS
Step by step
Solved in 2 steps
- The average distance of the earth from the sun is about 1.5 x 108 km (Figure 1). Assume that the earth's orbit around the sun is circular and that the sun is at the origin of your coordinate system. (a) Estimate the speed of the earth as it moves in its orbit around the sun. Express your answer in miles per hour with the appropriate number of significant figures. (b) Estimate the angle between the position vector of the earth now and what it will be in 4 months. (c) Calculate the distance between these two positions.The x-component of the position of the particle varies as x(t) = f³ -3-2 +3-t-2 and the y-component varies as y(t) = 3.8-2·2+3•t-2, where x and y are in m and t is in s. (Only add the units where explicitly asked) 1. Write the position vector 7(f) at any time t in unit vector notation: 7() = ( Dit 2. What is the position vector of the particle at f = 3 s (Note: the first box is for the x-position, the second box for the y- position, and the third box is for the unit) 7(t=3 s)= 3. Determine the velocity vector V (f) at any time t in unit vector notation: v () = 4. Calculate the velocity vector V (f) at t= 3 s (Note: the first box is for the x-position, the second box for the y-position, and the third box is for the unit) V (t= 3 s)=( 5. Determine the acceleration vector a (f) at any time t in unit vector notation: à (t) =Part A) A projectile is launched with speed v0v0 and angle θθ. Derive an expression for the projectile's maximum height hh. Express your answer in terms of the variables v0v0, θθ, and appropriate constants. Part B) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part C) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part D A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units. Part E) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units.
- A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by the following expressions: x = (18.0 m/s)t y = (4.00 m/s)t – (4.90 m/s²)t² (a) Express the position of the ball as function of time in terms of unit vectors. (b) In terms of unit vectors, calculate for the position, velocity, and acceleration of the golf ball at t = 3.00 s.Current Attempt in Progress A particle moving in the x-y plane has a velocity at time t = 6.82 s given by (5.2i + 3.7j) m/s, and at t = 7.04 s its velocity has become (5.42i + 3.80j) m/s. Calculate the magnitude a of its average acceleration during the 0.22-s interval and the angle it makes with the x-axis. Answers: a = i m/s² 0 = i OA remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the car as a function of time is given by: 3 = [5.0m/s – (0.018m/s³)t²]î + [2.0m/s + (0.55m/s²)t]j where î and ĵ are unit vectors representing two perpendicular directions on the horizontal ground (think of them as the East and North directions, if that helps you). b). What are the magnitude and direction of the car's velocity at t = 8.0 s? c). What are the magnitude and direction of the car's acceleration at t = 8.0 s? (Don't be intimated by the velocity function! Look at the î and ĵ components, and work each component separately to begin with, before combining components together to get any resultant vectors, if needed.)
- The equation r(t) = (/2t) i+ (/2t- 16t2) j is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t= 0. The angle between the velocity and acceleration vectors at time t = 0 is radians. (Type an exact answer, using n as needed.)An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.A particle undergoes three consecutive displacements d1=(1.5i+3.0j-1.2km) cm, d2=(2.3i-1.4j-3.6k) cm and d3=(-1.3i+1.5j) cm. find the component and its magnitude.
- 9. Given two vectors, a = 4.0Î – 3.0ĵ and 5 = 6.0Î + 8.0ĵ, find the magnitudes and directions (with the +x axis) of (a) a, (b) b, (c) a + b, (d) b − a, and (e) a — b.٤٣ B/s ۱۰:۰۹ ص .in the direction of the force TO FO choose the correct answer The acceleration Vector in cartizan Cordinat writin by the formulla Ⓒazé x + j X+kŹ =¿Ÿ+K Ⓒă= cx+jŸ+k² @a=ix + ³y +kż a b с do time derivative of velocity is called acceleration rate velocity docs.google.com/forms/d/ तंThe velocity of a particle as a function of time is given by v(t)=(3t-t )i-4 j all in S.I. units. a) What are the dimensions of the "-1 " in the – ti term? What are the units of the "3 " in the 3t i term? b) Find the position vector of the particle, r(t), if r(0) = -5 i- 2j :) Find the time ti > 0 when the position in the i direction is a maximum. d) Find a 1 -> 3 the average acceleration vector in the time interval 1 to 3 seconds.