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- Please provide a clear solution and FBD. 1 hour left! A projectile is shot at an inclination of 450 from the ground with a speed of 250 mps. Determine the radius of curvature after 15 sec. Support your solution with a correctly drawn figure showing the velocity, acceleration and indicate the normal and tangential axes.A rotating fan blade completes 20.0 revolutions per second. The tip of the fan blade is at a radius of 15.0 cm from the centre of the blade. a) What is the total distance travelled by the blade tip in one revolution? b) What is the tip's speed? c) What is the magnitude of uie tip's centripetal acceleration?A slender rod through the origin of the polar coordinate plane ro-tates (in the plane) about the origin at the rate of 3 rad/ min. A beetle starting from the point (2, 0) crawls along the rod toward the origin at the rate of 1 in./ min. a. Find the beetle’s acceleration and velocity in polar form when it is halfway to (1 in. from) the origin. b. To the nearest tenth of an inch, what will be the length of the path the beetle has traveled by the time it reaches the origin ?
- A ball is thrown with an initial velocity of 100 ft/s upward. Upon release, it makes a 30 degree angle with respect with the vertical. a. What is the velocity of the ball 50 ft measured horizontally from its initial position? b. Find the radius of curvature 50 ft measured horizontally from its initial position.The rod OA rotates in the horizontal plane such that 0=0.67+³ radian, and collar B is sliding outward along OA so that r=94t² mm. If in both cases t is in seconds, determine the radial acceleration (mm/s2) of the collar when the collar is 134 mm from O. Round off only on the final answer expressed in 3 decimal places. 1. 1. B A ...A pumpkin has been launched from a trebuchet at the annual World Championship "Pumpkin Chunkin' competition in Milsboro, Delaware. The pumpkin, as shown in Figure 4, is assumed to have been released at Owih an initial speed V, and an elevation angle 8. Detemine the time rate of change of the speed at fhe fme of release and the radius of curvature of the pumpkin's trajedtory at its highest point. Figure 4: A pumpkin launched by a trebuchet.
- Airplane makes a gradual 90 degrees turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. 1. for this turn, the magnitude of the radial acceleration of the plane is?A stone at the end of a sling is whirled in a vertical circle of radius 1.00 m at a constant speed Yo = 1.10 m/s as in the figure. Thecenter of the string is 1.50 m above the ground 1.What is the range of the stone if it is released when the sling is inclined at 30.0° with the horizontal at A? 2.7.A Jogger runs along a circular track of radius R = 100.0 m. She starts at A and jogs three-fourths of the circular track, un to B She then turns back and jogs one-half of the circular track, up to C. (Note that the dashed line is only a guide for the eye - showing that B, the center of the circle, and C are collinear). A. What is the distance she traveled? B. Draw her displacement vector. C. What is the magnitude of her displacement? C R. A 3. B 66
- A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 254 m, and the car completes the turn in 32.0 s. y An xy cordinate system is shown. Three points A, B, and Carhown on the graph These points arepined by a dotted curve. Poin v-axis, pont while p O is on te negative the posive x-axis, 35.0° Corant I X-axis. at an ang From poir right upward to cross B and en meets C. An arrow indcating theelocity at point A points hA to the right. An arrow indicating the velocity at point C points vertically upward. A the lly moves long B curves (a) What is the acceleration when the car is B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and j. |-0.196 First find the magnitude of the acceleration; then work out the components of the vector. m/s2 î +|-0.137 Note that 254 is one quarter of the circumference of the circular path. m/s2 j (b) Determine the car's average speed.…A girl delivering newspapers covers her route by traveling 3.00 km west, 4.00 km north, and then 6 00 km east. What in hex resultant dinplacement? O a. 13.0 km at 30° S of E Ob. 17.4 km at 33.7º N of E Oc 5.00 km at 90° N O d. 13.0 km at 65° N of W O e. 5.00 km at 53.1º N of E O Moving to the next question prevents changes to this answer.A small ball is attached to the lower end of a0.800-m-long string, and the other end of the stringis tied to a horizontal rod. The string makes aconstant angle of 67.9° with the vertical as the ballmoves at a constant speed in a horizontal circle.Part AIf it takes the ball 1.10 s to complete onerevolution, what is the magnitude of the radialacceleration of the ball?Express your answer with the appropriate units.