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MatroZZZ [7]
3 years ago
7

Your grandfather clock's pendulum has a length of 0.9930 m. if the clock loses 60 seconds per day, should you increase or decrea

se the length of the pendulum?
Physics
2 answers:
wel3 years ago
4 0
We have to speed up the watch so we need to decrease time period of pendulum. So we hv to reduce the length.
ser-zykov [4K]3 years ago
4 0

Answer:

Pendulum should be decreased to 0.9914m

Explanation:

The clock losses 60seconds per day.

In a day,there are 24×60×60=86400seconds/day

The period T= 2pisqrt(L/g)

T= 2×3.142sqrt(0.9930/9.8)

T= 2.00005277seconds

Error ratio=60/86400= 6.94×10^-4

Terror= 2.00005277×6.94×10^-4=1.389×10^-3seconds

Tcorrect=Toriginal -T error

Tcorrect= 2.00005277- 1.389×10^-3=1.998seconds

T=2pisqrt(L/g)

Solving for L

T/2pi = sqrt(L/g)

T^2/(2pi)^2=(L/g)

L =( g× T^2) / (2pi)^2

L= (9.8×(1.9987)^2/(2×3.142)^2

L = 39.188/39.4887

L = 0.9914m

Pendulum should be decreased to 0.9914m.

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Complete Question

An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 4.0 kg. Assume, a bit unrealistically, that the athlete's arm is uniform.

What is the magnitude of the torque about his shoulder if he holds his arm straight out to his side, parallel to the floor? Include the torque due to the steel ball, as well as the torque due to the arm's weight.

Answer:

The torque is  \tau = 34.3 \  N\cdot m

Explanation:

From the question we are told that

   The mass of the steel ball is  m  =  3.0 \  kg

    The length of arm is  l =  70 \ cm  = 0.7 \  m

    The mass of the arm is m_a  = 4.0 \  kg

Given that the arm of the athlete is uniform them the distance from the shoulder to the center of gravity of the arm is mathematically represented as

       r = \frac{l}{2}

=>    r = \frac{ 0.7}{2}  

=>    r = 0.35 \ m  

Generally the magnitude of torque about the athlete shoulder is mathematically represented as

      \tau =  m_a * g * r  + m * g *  L

=>    \tau =  4 * 9.8 * 0.35 + 3 * 9.8 *  0.70

=>    \tau = 34.3 \  N\cdot m

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Answer:

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Explanation:

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Answer:

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Explanation:

Given that the angle of incident and reflected ray are the same. In this question, we had given that both angles added up will gives you 80° so you have to divide it by 2 :

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Let incident = reflected = θ

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By definition we have to:

The electric current is the flow of electric charge due to the movement (usually of electrons) that a material travels.

Some properties are:

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2) The current inside a circuit is directly proportional to the voltage and inversely proportional to the resistance of the circuit. This is what is known as ohm's law:

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