Answer
Given,
Period of the Pendulum, T= 1 s
acceleration due to gravity, g = 9.8 m/s²
Length of Bob = 0.2482 m
Loss of time in the clock = 1.5 minutes/ day
Loss of time in 1 oscillation
= 
= 0.001042
Hence, time period, T = 1 + 0.001042
T = 1.001042 s
a) Using Time period of oscillation formula
Free fall acceleration at the clock location = 9.77 m/s²
b) Length of pendulum bob to keep it perfect time
Hence, Length of pendulum bob is equal to 0.2475 m.
Answer:
7.5
Step-by-step explanation:
gradient=(y1-y2)/(X1-x2)
Let
x---------> the length of the first piece
y---------> the length of the second piece
z---------> the length of the third piece
we know that
x+y+z=72 -------> equation 1
y=x+6 -----> solve for x
x=y-6 -------> equation 2
z=6+y -------> equation 3
substitute equation 2 and equation 3 in equation 1
[y-6]+y+[6+y]=72
3y=72
y=(72/3)=24 in
<u>Find the value of x</u>
x=y-6 -------> equation 2
x=24-6=18 in
<u>Find the value of z</u>
z=6+y -------> equation 3
z=6+24=30 in
therefore
<u>the answer is</u>
the length of the first piece is 18 in
the length of the second piece 24 in
the length of the third piece is 30 in
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
brainly.com/question/24643676
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Answer:
Mode: 11
Median: 11
Step-by-step explanation:
mode is number that shows up the most
Arrange numbers in order :
7 8 9 10 11 11 12 13 18
number physically in the middle is median
