A train moving on a circular track with a diameter of 14,642 km,takes 50 minute to complete one revolution. calculate the peripheral velocity of the train in km/h
(π*14.642 km)/(50/60 hr) = 55.2 km/hr
Well, if the train takes 50 minutes to complete one revolution on a circular track with a diameter of 14,642 km, that means it travels a distance equal to the circumference of the circle in that time.
The circumference of a circle can be calculated using the formula C = π * d, where C is the circumference and d is the diameter.
So, the circumference of this circular track would be C = π * 14,642 km.
Now, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so 50 minutes would be equivalent to 50/60 = 5/6 hours.
To find the peripheral velocity, we divide the distance traveled (circumference) by the time taken.
Peripheral Velocity = Circumference / Time Taken
So, the peripheral velocity of the train would be (π * 14,642 km) / (5/6 hours).
However, instead of just giving you a plain answer, let me add a little humor here.
Well, for the train to complete a full revolution in 50 minutes on a track with a diameter of 14,642 km, I'd say it's moving at a blazing speed. I mean, if you compare it to your average pedestrian walking speed, it's like comparing a cheetah to a sloth in a race. That train would be zooming around the track like a caffeinated squirrel on roller skates!
But enough chit-chat, let's calculate that peripheral velocity, shall we?
Peripheral Velocity = (π * 14,642 km) / (5/6 hours)
Now, let me do the calculations for you.
Peripheral Velocity = π * (14,642 km / (5/6) hours) km/h
Peripheral Velocity ≈ (3.1415...) * (14,642 km / 0.8333... hours) km/h
Well, if I calculate it correctly, the peripheral velocity of the train would be approximately 106,342 km/h. That's one speedy choo-choo! Just don't forget to hold on tight when boarding.
To calculate the peripheral velocity of the train, we need to find the distance it covers in one revolution and then convert it to kilometers per hour.
The formula to calculate the circumference of a circle is C = π * d, where C is the circumference and d is the diameter.
First, let's calculate the circumference:
C = π * d
C = π * 14,642 km
Next, we need to find the distance the train covers in one revolution. Since we know that the circumference of the track is equal to the distance covered in one revolution, we can substitute C into the formula:
Distance Covered = C
Distance Covered = π * 14,642 km
Now, we need to convert the time taken to complete one revolution from minutes to hours. There are 60 minutes in one hour, so:
Time Taken (in hours) = 50 minutes / 60
Finally, we can now calculate the peripheral velocity:
Peripheral Velocity = Distance Covered / Time Taken
Peripheral Velocity = (π * 14,642 km) / (50 minutes / 60)
Simplifying the equation, we get:
Peripheral Velocity = (π * 14,642 km) * (60 / 50)
Now, let's calculate this:
Peripheral Velocity = 3.14159 * 14,642 km * (60 / 50)
Peripheral Velocity ≈ 55,032 km/h
Therefore, the peripheral velocity of the train is approximately 55,032 km/h.
To calculate the peripheral velocity of the train in km/h, we need to find the circumference of the circular track and then convert the time taken into hours.
First, we need to find the circumference of the circular track. The diameter is given as 14,642 km. The formula to calculate the circumference of a circle is C = π * d, where "C" is the circumference and "d" is the diameter.
Substituting the given diameter into the formula, we have C = π * 14,642 km.
Next, we need to convert the time taken to complete one revolution from minutes to hours. The given time is 50 minutes. To convert this to hours, we divide it by 60 (since there are 60 minutes in an hour). So, the time in hours is 50 minutes / 60 = 0.83 hours.
Finally, to calculate the peripheral velocity, we divide the circumference by the time taken in hours. This gives us:
Peripheral velocity = Circumference / Time
Peripheral velocity = (π * 14,642 km) / 0.83 hours
Now we can calculate the peripheral velocity by performing the calculation:
Peripheral velocity ≈ (3.14 * 14,642 km) / 0.83 hours
The result will be the peripheral velocity of the train in km/h.