Name: 1. A grindstone spinning at the rate of 20 rev/s has what approximate angu

Question

Name: 1. A grindstone spinning at the rate of 20 rev/s has what approximate angular speed? 2. A 0.50 kg mass is whirled around at the end of a 1.00 m string. The mass sweeps out a horizontal circle. The string has a 500 N capacity, what is the maximum tangential speed of the mass if the string doesn't break? 3. A 1,000 kg car rounds an unbanked curve with a radius of 50 m at a speed of 10 m/s. What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? 4. A 0.5 m radius-grinding wheel takes 6 s to speed up from 2.0 rad/s to 12.0 rad/s. What is the wheel's average angular acceleration? 5 A planet has 2 times the radius of the Earth, but has the same density as the Earth, what is the gravitational acceleration at the surface of the planet? (use g 9.8 m/ s2)

Explanation / Answer

1. Angular speed = 20 *(2*3.14)= 125.6 rad/s

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2. Condition for max for ut can withstand upto

Centripital force = string capacity

mv^2/r= 500

0.5*v^2/1= 500

v= 31.623 m/s

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3. Max speed is given by

v^2 u rg

10^2= u (50*9.8)

u= 0.204

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4. Angular acceleration

a= (w2-w1)/t= (12-2)/6= 10/6= 1.67 rad/s^2

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Plz reattach other problems separately

Comment in case any doubt..goodluck

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