Pizza Dough Mixer
Pizza Dough Mixer
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Please please could you help me with these circular problems??
Could you please help me with these? If you could, I would consider you an ultimate lifesaver and I would really cherish it. Please please if you could take the time, help me with these problems. Thanks in advance.
6.) Mary twirls a round piece of pizza dough overhead with a frequency of 60 revolutions per minute. A.) Find the linear speed of a stray piece of pepperoni stuck on the dough 10 cm from the pizza’s center. B.) In what direction will the pepperoni move if it flies off while the pizza is spinning? Explain the reason for your answer.
5.) What is the radius of an automobile tire that turns with a frequency of 11 Hz and has a linear speed of 20.0 m/s?
9.)A cement mixer of radius 2.5 m turns with a frequency of 0.020 Hz. What is the centripetal acceleration of a small piece of dried cement stuck to the inside wall of the mixer?
3.)Hamlet, a hamster; runs on his exercise wheel, which turns around once every 0.5 s. What is the frequency of the wheel?
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6) Mary twirls a piece of pizza dough with a frequency =f= 60 revolutions per minute=60/60=1revolution per second
Angular velocity =w =2pi*f
Angular velocity =w =2pi /s
. The distance of piece of pepperoni from the pizza’s center.= r =10cm=0.1 m
The linear speed =v =rw
The linear speed =v=0.1*2pi=
The linear speed =v=0.6283 m/s
6 A)The linear speed of a stray piece of pepperoni is 0.6283 m/s
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6 B.) the pepperoni flies off tangentially , because force with which pepperoni sticks to pizza is less than required centripetal force for circular motion of pepperoni, therefore after detatching pepperoni moves along straight path
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Suppose the radius of an automobile tire=r
Frequency of turning = f = 11 Hz
Linear speed =v= 20.0 m/s
v =rw
v =r*2pi*f
r = v /2pi*f
r =20/2*3.1416*11
r=0.2894 m
5) The radius of an automobile tire is 0.2894 m
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The radius of mixer =r = 2.5 m
Frequency = f = 0.020 Hz.
The centripetal acceleration of a piece of cement =a! =rw^2
a! =r*(2pif)^2
a! =2.5* (2*3.1416*0.02)^2
a! =0.03948 m/s^2
9)The centripetal acceleration of a small piece of dried cement stuck to the inside wall of the mixer is 0.03948 m/s^2
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Hamlet, a hamster; runs on his exercise wheel, which turns around once every 0.5 s.
Time period =T =0.5 s
The frequency of the wheel = 1/T =1/0.5 =10/5 = 2Hz
3) The frequency of the wheel is 2 Hz
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