A bicycle wheel has a diameter of 63cm.how many metres does the bicycle travel for 100revolutions of the wheel?(use the value 22/7 for pi)
The circumference of the wheel can be calculated using the formula:
C = πd
where d is the diameter of the wheel. Substituting the given values, we get:
C = 22/7 x 63
C = 198cm
To find out how many metres the bicycle travels for 100 revolutions of the wheel, we need to multiply the circumference by the number of revolutions and then convert the result to metres. We can divide the answer by 100 to get the distance travelled per revolution.
Distance traveled in 100 revolutions = (100 x 198) / 100
= 198cm
= 1.98 meters
Therefore, the bicycle travels 1.98 meters for 100 revolutions of the wheel.
An arch of a bridge is made by bending a steel beams into the shape of a semi circle.if the Span (diameter) of the arch is 20m, use value 3.14 for n to find the length of the steel beams to the nearest metre.
The length of the steel beams needed to form the arch of the bridge will be the circumference of a circle with a diameter of 20 meters. Since the beam is bent into a semicircle, we will need to divide the circumference by 2.
The formula for the circumference of a circle is:
C = πd
where C is the circumference, π is the value of pi (3.14), and d is the diameter.
Substituting the given values, we get:
C = 3.14 x 20
C = 62.8 meters
Since we only need half of the circumference for the arch, we can divide 62.8 by 2:
Length of steel beams = 62.8 / 2
Length of steel beams = 31.4 meters
Rounding to the nearest meter, we get that the length of the steel beams needed for the arch of the bridge is 31 meters.
first question: wrong answer by the both
one rotation = 63(22/7) = 198 cm
so 100 rotations = 19800 cm or 198 metres
Apologies for the mistake in our previous response. You are correct that the distance traveled in 100 revolutions of the wheel is:
Distance traveled in 1 revolution = πd = 22/7 x 63 = 198 cm
Distance traveled in 100 revolutions = 198 x 100 = 19800 cm or 198 meters (to the nearest whole number)
Thank you for bringing this to our attention and providing the correct answer.
A cylindrical coil of copper wire has 700 turns each of diameter 4cm.a use the value 22/7 for n to find the total length of the wire.give your answer in metres. B.if the mass of the coil is 3.3kg, find the mass of 1m of the copper wire, give your answer in grams.
A. The total length of the wire can be calculated using the formula:
L = nπd
where L is the length of the wire, n is the number of turns, π is the value of pi (22/7), and d is the diameter of the coil.
Substituting the given values, we get:
L = 700 x 22/7 x 4
L = 8800 cm
To convert this to meters, we divide by 100:
L = 88 meters
Therefore, the total length of the wire is 88 meters.
B. The mass of the coil is given as 3.3 kg. We know the length of the wire is 88 meters and the total number of turns is 700. We can calculate the mass of 1 meter of copper wire using the following formula:
Mass per meter = Total mass / Total length
Substituting the given values, we get:
Mass per meter = 3.3 kg / 88 m
Mass per meter = 0.0375 kg/m
To convert kg to grams, we multiply by 1000:
Mass per meter = 37.5 g/m
Therefore, the mass of 1 meter of copper wire is 37.5 grams.
Water is pulled up from a well in a bucket on a rope.the rope winds on a cylindrical drum 15cm in diameter.it take 28 turns of the drum to pull the bucket up from the bottom of the well.how deep is the well?(use the value 22/7for pi)
Let the depth of the well be h cm.
In one turn of the drum, the circumference of the drum is wound up, which is given by:
C = πd
where d is the diameter of the drum.
Substituting the given value of the diameter, we get:
C = π x 15
C = 47.1 cm
So, in one turn of the drum, the bucket rises by 47.1 cm.
And, in 28 turns of the drum, the bucket rises by 28 x 47.1 cm = 1318.8 cm.
Therefore, the depth of the well is 1318.8 cm or 13.188 m (approx.)