### Ferris Wheel Car Problem**Problem Statement:**The car A has a forward speed of 21 km/h and is accelerating at 3.0 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a non-rotating chair on the Ferris wheel. The angular rate Ω = 3.2 rev/min of the Ferris wheel is constant.**Diagram:**![Diagram](image-link)- The Ferris wheel has a radius \( R = 8.4 \) m.- The angle at which the observer B is located from the horizontal axis is 44°.- The Ferris wheel has an angular rate \( \Omega = 3.2 \) rev/min.- The car A is moving along a straight path on the ground.**Given:**- Forward Speed of Car A: 21 km/h (convert to m/s: \( 21 \times \frac{1000}{3600} = 5.83 \) m/s)- Acceleration of Car A: 3.0 m/s²- Radius of Ferris wheel: \( R = 8.4 \) m- Angular rate: \( \Omega = 3.2 \) rev/min (convert to rad/s: \( 3.2 \times \frac{2\pi}{60} = 0.335 \) rad/s)- Angle: 44°### Answers:**Velocity ( \(v_{A/B}\) ):**\[ v_{A/B} = \begin{pmatrix} 3.878 \\ 2.025 \end{pmatrix} \text{ m/s} \]**Acceleration ( \(a_{A/B}\) ):**\[ a_{A/B} = \begin{pmatrix} 3.723 \\ -0.606 \end{pmatrix} \text{ m/s}² \]### Explanation of the Diagram:1. **Ferris Wheel**: The large circle represents the Ferris wheel. The radius of the wheel is labeled as \( R = 8.4 \) m.2. **Car A**: The car is shown on a straight path at the base of the Ferris wheel.3. **Observer B**: Located at an angle of 44° above the horizontal axis on the Ferris wheel.4. **Angular Rate**: Indicated as

Answered: Image /qna-images/answer/27a886fe-9db7-4250-b6c3-2ec9a1e3dd1a.jpg

The car A has a forward speed of 21 km/h and is accelerating at 3.0 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate = 3.2 rev/min of the Ferris wheel is constant.

The car A has a forward speed of 21 km/h and is accelerating at 3.0 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate = 3.2 rev/min of the Ferris wheel is constant.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

topic: Space Coordinates & Relative MotionI need this ASAP within 1 hour please
5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity W and angular acceleration a (both counterclockwise). 6) if W = 3.2 rad/s and a = 6.2 rad/s², length | = 1.6 m, and angle = 33°, what is the angular acceleration of link AB in rad/s2? Please pay attention: the numbers may change since they are randomized. Negative must be included if it is clockwise. Your answer must include 2 places after the decimal point. B Your Answer: 8 Answer A 0.5 m ω, α
5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity W and angular acceleration a (both counterclockwise). 4) if W = 5.3 rad/s and a = 6.7 rad/s², length | = 1.5 m, and angle = 24°, what is the magnitude of the angular velocity of link AB? Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. B Your Answer: Answer A 0.5 m units @, a
1. A pancake body rotates about a fixed origin. Relative to that origin, a point A at FA = az on the object has instantaneous velocity VA = voŷ. At the same instant, a point B at FB = ay has instantaneous velocity UB = -002. (a) What is the angular rotation vector at that instant? (b) What is the velocity of point C at the location c = (+2)? 2. Find the angular momentum vector (magnitude and direction) of the point C in Problem 1 with respect to point B, assuming the point C has a mass m.
As shown in the figure below, the wheel rolls on the plane with constant angular velocity w = 1.3 O rad/sec. The plane J on which the wheel rolls is not fixed to the reference frame but instead translates on the reference frame G at constant velocity V = 2.9 ft/sec to the left. Find Vo (the magnitude of the velocity at the point Q). 1 P 1.6 ft J V Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.
5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity w and angular acceleration a (both counterclockwise). 6) if W = 5.3 rad/s and Q = 7.0 rad/s?, length I = 1.8 m, and angle 0= 36°, what is the angular acceleration of link AB in rad/s?? Please pay attention: the numbers may change since they are randomized. Negative must be included if it is clockwise. Your answer must include 2 places after the decimal point. 0.5 m O, a
rad The rod OA rotates clockwise at a constant angular velocity of 0 = (3) Two pin-connected slider block, located at B, move freely on OA. The curved rod is described by the equation r (300 (3-cos)) m. Hint: 1. Remember clockwise rotation is negative velocity. OA Variable 0₁ d₁ d₂ d3 0₁ d2 d3 Values for the figure are given in the following table. Note the figure may not be to scale. Value 110 degrees 0.45 m 0.1 m 0.275 m Using cylindrical components, a. Determine the cylinders's radial and transverse components of velocity at the instant shown, u, and vg. b. Determine the cylinders's radial and transverse components of acceleration at the instant shown, ar and ag. c. Determine the cylinder's magnitude of the velocity at the instant shown, ·M. d. Determine the cylinder's magnitude of the acceleration at the instant shown, |a1. Round your final answers to 3 significant digits/figures. 7= fr + a= M-C Hr+ m S M 82 He) Fe) m S m
4 Problem A cannon is fired at A with speed v0 = 520 m/s. Determine the two angles, a and 0, that will result in the projectile hitting the target at B with coordinates (XB, YB) = (6000, 1800)? [Hint: You should arrive at a system of two independent equations, both with only time and angle as (i.e., two) unknowns]. A vo XB Impact
topic: Space Coordinates & Relative MotionI need the Answer ASAP please, thank you.
Needs Complete typed solution with 100 % accuracy.
You are working as the design engineer in Pacific Robotics and you are to design a robotic arm for a specific manufacturing process that can hoist from 0° to 140 with a simultancous extension of the arm radially. The tip of the robotic arm M can grip objects as shown in the figure. At any given time, when the robotic arm is at a location 0 = 35°, the arm is hoisting at a constant velocity of 12 /s. If the variable part of the arm length, its velocity and acceleration is given as r 0.65 m, r = 0.29 and i = -0.25 m/s, calculate the velocity and acceleration of the grip M. Also, calculate the radial and transverse forces F, and Fa, on the gripped part M which has a mass of 1.5 kg. M 0.7 m
Unlike the common V6 engine, Subaru engines contain pistons that are horizontally opposed (see Wikipedia for more info). Luckily for us, this also makes for an interesting dynamics problem! At the instant shown, the crank arm's angular velocity is waB = 2,000 rpm (rotating clockwise) and the angle 0 = 40° with respect to the horizontal. Length of bar AB is r1 = 3 in. and the length of bar BD is r2 = 8 in. a) Clearly define coordinate systems for each link and write transformation arrays for each. b) Compute the velocity of point B in ft/s. Express your answer in rectangular coordinates. [Ans. to Check: 33.66 i– 40.11 j ft/sec] c) Determine the magnitude of the speed of the piston P in ft/s. Note: all answers should be positive since we only want to know the magnitude of the speed, not the direction (the piston can only move in the horizontal direction). [Ans. to Check: 43.6 ft/s] r2 10 B