Consider a satellite around Earth in an elliptic orbit. At a point in its orbit, the radius (in km) from the center of the Earth is varying with time as r(t) = 7000 - 0.54 t (with t in seconds). The angular rate is 0 (t) = 1.02 x 10³ rad/s. What is the magnitude of acceleration (in m/s²) at t = 0.

Consider a satellite around Earth in an elliptic orbit. At a point in its orbit, the radius (in km) from the center of the Earth is varying with time as r(t) = 7000 - 0.54 t (with t in seconds). The angular rate is 0 (t) = 1.02 x 10³ rad/s. What is the magnitude of acceleration (in m/s²) at t = 0.

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

A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank armis 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedalingthe bicycle such that the crank arm rotates once every second.Questions:1. Write an equation that models the vertical position of the foot with respect to theground, starting from the lowest point, as the crank arm turns.2. What is the rate of change of the vertical position of the foot when it is at themidline? Explain your answer3. How fast, in kilometres per hour, is the bicycle moving?4. Determine an equation that would model the foot’s position when the cyclist istraveling 5 km/h. Compare this equation to your equation from question 1 andexplain any differences.5. Use calculus to explain why the rotation velocity of a point on the perimeter of awheel is the same as the velocity of the pedal. Use examples to support youranswer.
A shaft is rotating at a uniform speed with four masses mı, m2, m3 and m4 of magnitudes 300 kg, 450kg, 360kg and 390 kg respectively. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mm and 300mm. The angles made by these masses with respect to horizontal are 0°, 45º, 120° and 255° respectively. 1) Check the magnitude and position of balance mass if it radius of rotation is 200mm, and 2) Evaluate the effect of adding the balance mass to the system.
Five objects in a region where the acceleration due to gravity is 30.2 ft/s2 are as follows: x1 = 350 g of mass; x2 weighs 950gf; x3 weighs 25 poundals; x4 weighs 2lbf; x5 is 0.40 slug of mass. What is (a) the total mass expressed in gm, and (b) the total weight expressed in kgf.
The sphere with mass m = 25 kg rolls down the inclined plane of angle = 25° without slipping. Determine its angular acceleration (in rad/s²). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². 0.15 m Your Answer: G 0 Answer A
A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the angle in degrees through which the blade has turned in the 20-s interval
An automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular track
2. A car accelerates uniformly from rest and reaches a speed of 28.0 m/s in 8.00 s. If the radius of a tire is 30 cm, find the number of revolutions the tire makes during this motion, assuming that no slipping occurs.
A shaft is rotating at a uniform speed with four masses m1, m2, m3 and m4 of magnitudes 300 kg, 450kg, 360kg and 390 kg respectively. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mm and 300mm. The angles made by these masses with respect to horizontal are 0°, 45°, 120° and 255° respectively. 1) Check the magnitude and position of balance mass if it radius of rotation is 200mm, and 2) Evaluate the effect of adding the balance mass to the system. solve it using garphical method
A double collar C is pin connected together such that one collar slides over a fixed rod and the other slides over a rotating rod. The geometry of the fixed rod for a short distance can be defined by a lemniscate, ² = (4 cos 20) ft². Rod OA is rotating at a constant rate of 0 = 5.6 rad/s. (Figure 1) Figure Part A Vr, vg = Submit ²2² = 4 cos 20 OF ΠΆΓΙ ΑΣΦ 0 Determine the collar's radial and transverse components of velocity at the instant = 0° as shown Express your answers in feet per second to three significant figures separated by a comma View Available Hint(s) 11 vec A ? 1 of 1 ft/s
A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is
a) The two systems shown are very similar. In both cases, the horizontal surface is frictionless. All the boxes have the same mass. In which system will box 2 have a larger acceleration? Are they the same? How do you know? 2 no friction The solid line represents the center-of-mass. b) Here is a graph of position vs. time for two objects (dotted line and dashed line) involved in a collision (at the star). There is a mistake in the graph! What is the mistake, and how do you know? 1 Note: I did not give you any numbers on the graph, and you don't need them to find the error! X 2 no friction 1 t
In class, we used the 1967 gravity formula to derive the change in gravitational acceleration g with latitude, and we calculated the result at latitude o = 45°. Plot the rate of change of g with latitude () in units of mgal/km, from the equator to the pole (ø = 0° to ø = 90°). Be careful with the units; you will need to convert radians to km. (Recall that there are 27 radians in a full circle, 360°.) do