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Zigmanuir [339]
4 years ago
9

A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. It is then turned off and coasts to a stop in an

additional 40 s. The ratio of the average angular acceleration for the first 20 s to that for the last 40 s is which of the following?
a.2
b.-0.5
c.0.5
d.-2
Physics
1 answer:
Ilya [14]4 years ago
6 0

Answer:

option D

Explanation:

given,

angular speed of the fan = 120 rev/min

time = 20 sec

After 40 s fan comes to rest

ration angular acceleration of the first 20 s to last 40 s.

angular acceleration for first 20 s

\alpha_1= \dfrac{\Delta \omega}{t}

\alpha_1= \dfrac{120}{20}

\alpha_1=6 rev/s^2

for last 40 s

\alpha_2= \dfrac{\Delta \omega}{t}

\alpha_2= \dfrac{0-120}{40}

\alpha_2= -3 rev/s^2

now, ratio

\dfrac{\alpha_1}{\alpha_2}=\dfrac{6}{-3}

\dfrac{\alpha_1}{\alpha_2}=-2

hence, the correct answer is option D

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b

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Considering the first question

From the question we are told that

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  The radius of  each strand is  r_0 =  0.306 \ mm =  0.000306 \ m

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= >  A   = 7.0695 *10^{-6} \  m^2

Generally the current in the first wire is    

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Generally the current is  

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=>    I_2  =   1750  *  5.5899 *10^{-6}

=>    I_2  =   0.00978 \  A

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 From the question we are told that

     Resistivity is  \rho  =  1.69* 10^{-8} \Omega \cdot m

     The  length of each wire  is  l =  6.25 \  m

Generally the resistance of the first wire is mathematically represented as

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=> R_1  = 0.0189 \ \Omega

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