4. A tire 0.500 m in radius rotates at a constant rate of 200 rev/mm. Find the s

Question

4. A tire 0.500 m in radius rotates at a constant rate of 200 rev/mm. Find the speed and acceleration of a small stone lodged in the tread of the tire (on its outer edge). 5. The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maxi- mum height. What is the initial projection angle of the projectile? 6. A firefighter, a distance d from a burning building, S directs a stream of water from a fire hose at angle Thetai, above the horizontal as shown in Figure. If the initial speed of the stream is vi, at what height h does the water strike the building?

Explanation / Answer

4) radius, r = 0.5 m

angular speed, w = 200 rpm

= 200*2*pi/60

= 20.93 rad/s

tangential speed, v = r*w

= 0.5*20.93

= 10.47 m/s

radial acceleration, a = r*w^2

= 0.5*20.93^2

= 219.1 m/s^2

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