Shorty formula and answer no need of explanation!!
16. The wheel of a bicycle has a radius of 40 cm. Calculate its period of revolution if the bicycle moves With a speed of 20 km/h. How much is the angular velocity?
17. Vay large magnitude of acceleration can be achieved in some devices such as in a gun. A bullet in a gun is accelerated from the ring chamber to the end of the barrel at an average rate of 6.20810 m/s² for 8.10x10 sec.
What is its muzzle velocity (that is, its final velocity?) 18. A 0.525 kg ball is attached to a 125 in string and swings in a circular path The angle of the string away from vertical is 30.0° Find the centripetal force acting on the ball and the speed of the hall
19. A car travels 20 km due north and then 25 km in a direction 60° West of North. Use both graphical and algebraic methods to find the magnitude and direction of a single vector that gives the net effect of the car's trip
20. A sailor boards a paddle boat and heads the boat Westward directly across a river. The river flows South at 50 cm/s and the woman paddles the boat with a speed of 100 cm/s. A. Determine the resultant velocity of the boat-both magnitude and direction,
B. How far down stream relative to the straight-across direction will woman be when she reaches the opposite shore?
21. The dot product of A and B can be defined alternatively as the magnitude of multiplied by the component B of in the direction of A. Find the angle between each of the following pairs of vectors. a) 3i- j and i-2j b) 3i-2j and i-2j (c) 3i-2jand 4i+ 6j
22. A driver of a vehicle traveling at a. speed of 30 m/s on a motorway brake sharply to a standstill in a distance of 100m. Calculate the deceleration of the vehicle.
23. A car driver accelerates her car by1.4 m/s, starting from rest. (a) How long does it take her to reach a speed 1 of 2.0 m/s? (b) If she then brakes to a stop in 0.8 seconds, what is her deceleration?
24. What is (a) the tangential velocity? (b) the angular velocity? and (c) the centripetal acceleration, du
to the Earth's rotation, of a body on the equator? Radius of Earth 6,400 km. 25. Determine a velocity vector that has a magnitude of 5 m/s directed along the direction of vector D-1.5i+2j
16. T = 0.6 s, ω = 10 rad/s
17. vf = 50.19 m/s
18. Fc = 6.44 N, v = 5.83 m/s
19. The magnitude is 44.2 km and the direction is 38.7° W of N.
20. A. The magnitude is 111.8 cm/s and the direction is 19.5° W of S.
B. She will be 43.3 cm downstream.
21. a) θ = 45°, b) θ = 90°, c) θ = 90°
22. a = -6 m/s²
23. a) t = 1.4 s, b) a = -2.5 m/s²
24. a) 465.1 m/s, b) 7.29 x 10^-5 rad/s, c) 0.0338 m/s²
25. v = 3.75i + 5j m/s