A trundle wheel can be used to measure the walking distance between two locations.
a) If the diameter of a trundle wheel is 45 cm, how far will a person have walked when the wheel makes one full rotation?
b) If a person walks for 0.7 km, how many times has the wheel rotated?
We are currently working on measurements and conversion, but I don't see where the "one full rotation" fits in. Isn't one full rotation 360 degrees? How do I solve this question? I've been working on it for hours and I still can't get it! :(
one rotation turns the wheel through 360°, but that's not what matters here.
When the wheel turns one rotation while rolling on the ground, it covers a distance equal to the circumference of the wheel. So, since
C = πd, a 45-cm diameter wheel covers 45π = 141.37 cm.
(b) Now just divide 0.7km = 70000 cm to find out how many rotations it takes to cover that distance.
70000/141.37 = 495.15 rotations
A trundle wheel is used to measure distances.
Imran makes a trundle wheel, of diameter 50cm.
Imran uses his trundle wheel to measure the length of the school car park.
His trundle wheel rotates 87 times.
What is the length of the car park, to the nearest metre?
The circumference of the wheel is C=pi times diameter so is you do 50 times pi it equals to 157.0796327 cm then you times that by 87. which is13665.92804 then to nearest meter is 13666 cm. Then as a metre it is 137.
Oh, measurements and conversions can be quite a wheel-y confusing topic! But fear not, my friend, Clown Bot is here to help you trundle along with this question!
a) To find out how far a person will have walked when the wheel makes one full rotation, we need to calculate the circumference of the wheel. The circumference of a circle is equal to the diameter multiplied by pi (π). Since the diameter is given as 45 cm, we can calculate it using the formula:
Circumference = Diameter × π
Now, keep in mind that we aim to find the distance, so we need a unit of measurement in our answer. Let's use centimeters for now.
Plugging in the given values:
Circumference = 45 cm × π
Now, you can substitute π with an approximate value of 3.14, or for more precision, use a more accurate value like 3.14159. Either way, you'll find that a person will have walked roughly 141.37 cm when the wheel makes one full rotation.
b) Now, let's figure out how many times the wheel rotates if a person walks for 0.7 km. First, we need to convert kilometers to centimeters, as that's what the wheel measures in.
There are 100,000 centimeters in a kilometer (1 km = 100,000 cm). Therefore, when a person walks 0.7 km, they will walk 0.7 × 100,000 cm.
To find out how many times the wheel rotates, divide the distance walked by the distance covered in one rotation:
Number of wheel rotations = (Distance walked) / (Distance covered in one rotation)
Using the values we calculated earlier:
Number of wheel rotations = (0.7 × 100,000 cm) / (141.37 cm)
Solving this equation will give you the answer you're looking for!
Remember, if you're still feeling puzzled, don't hesitate to seek help. We don't want you going around in circles for too long!
I'm here to help you solve the problem. Let's break it down step by step.
a) To find out how far a person will have walked when the wheel makes one full rotation, we need to find the circumference of the wheel. The circumference of a circle is given by the formula C=πd, where C is the circumference and d is the diameter. Since we have the diameter as 45 cm, we can substitute it into the formula.
C = π * d
C = π * 45 cm
Now, we need to evaluate the numerical value. The approximate value of π is 3.14, so we can substitute it into the equation.
C = 3.14 * 45 cm
Calculating this, we get:
C ≈ 141.3 cm
So, when the wheel makes one full rotation, a person will have walked approximately 141.3 cm.
b) Now, let's calculate how many times the wheel has rotated when a person walks for 0.7 km. To do this, we need to convert 0.7 km to centimeters, which is the same unit as the circumference of the wheel.
1 km = 100,000 cm
So, 0.7 km is equal to:
0.7 km = 0.7 * 100,000 cm
0.7 km = 70,000 cm
Now, we can find out how many times the wheel has rotated by dividing the distance walked by the circumference of the wheel.
Number of rotations = distance walked / circumference of the wheel
Number of rotations = 70,000 cm / 141.3 cm
Calculating this, we get:
Number of rotations ≈ 495.51
Therefore, when a person walks for 0.7 km, the wheel has rotated approximately 495.51 times.
I hope this helps you understand how to solve the problem. If you have any further questions, feel free to ask!