Answer:
37.7 J
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Time period of a simple pendulum is measured at karachi, what change will occur in the time period ,if it is measured on mount e
1 answer:
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Answer:
Answer is explained in the explanation section.
Explanation:
A)
Solution:
For this to find, we need to calculate the centripetal acceleration on the equator.
The centripetal acceleration of the equator:
a = 4RcosФ/
,
where,
R is the radius of the earth
R = 6378 KM = 6.3 x and
T is the time period
T = 24 h = 86164.1 s
At Equator, Ф = 0°
So, CosФ = 1
Hence,
a = 4R/
By plugging in the values, we get:
a = 4 x () x (6.3 x
) /
a = 0.03 m/
Hence, this is the centripetal acceleration on the equator. And we also know that, acceleration due to gravity is 9.8 m/ which is very higher than the centripetal acceleration on the equator.
B) Normal force exerted by chair will always be equal and opposite to the mass times gravitational acceleration (F = mg). Otherwise, I would be thrown away from chair in case the normal force is not equal and opposite or I would be drag down to the earth due to greater mass times gravitational acceleration. Hence, both are equal and opposite.
C) Of course, this is not a lie, it is true because the acceleration due to gravity is 9.8 m/ and as we calculated the acceleration on the equator is 0.03 m/
which way too low to experience.
For percentage difference,
9.8 - 0.03 = 9.77
So, % diff = (9.8 - 9.77)/9.8 x 100
% diff = 0.00306 x 100
% diff = 0.306%
Obviously, this is way too low to experience.
D) With the help of same formula as discussed above, we have:
a = 4RcosФ/
,
Here, Ф = 44.4°
Just putting the values. we get
a = 0.0241 m/
Acceleration while sitting in my chair.
The smallest perimeter of the rectangle is of value 150 cm.
Given:
The area of the rectangle, A = 1350 cm²
Calculation:
Let the length of the rectangle be 'x'
the breadth of the rectangle be 'y'
We know that the area of a rectangle is given as:
A = (x) × (y)
Applying values in the above equation we get:
xy = 1350 cm²
Factorizing the value of 1350, the possible values of length and breadth of the rectangle is as listed below:
x (cm) y (cm)
1350 × 1
675 × 2
450 × 3
270 × 5
225 × 6
150 × 9
135 × 10
90 × 15
75 × 18
54 × 25
50 × 27
45 × 30 (least possible value)
Thus, the smallest perimeter of the rectangle can be calculated as:
P = 2 (x + y)
= 2 (45 + 30)
= 150 cm
Therefore, the smallest perimeter that the rectangle will have is 150 cm.
Learn more about factorization here:
<u>brainly.com/question/9231261</u>
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