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What is the circumference of a circle NXT WHEEL?
circumference = 2*pi*radius or diameter*pi
The circumference of a trundle wheel is 1 meter how many times does the wheel turn in going 0.75km?
75
If a wheel has a radius of 3.4 meters how far does a point on the circumference travel if it's rotated through 30 radians?
A wheel 3.4 meters in radius rotated through 30 radians will move 3.4 metres x 30 = 102 metres along the ground. But hold the phone. You asked how far a point on the circumference would travel if the wheel is rotated through 30 radians. If you plot its path of travel, that point on the circumference makes a quirky trip. Know what a cycloid is? That's where we're going. Ready? Buckle up. A cycloid is the curve defined by a fixed point on a wheel as it rolls. To be more precise, it's the locus of a point fixed on the rim of a circle rolling along a straight line. Use the link to the Wikipedia post to see an aplet of exactly what you asked. All the math is there, too. But make sure you have a bit of knowledge of the calculus.
The diameter of a wheel is 6cm how many complete revolutions will the wheel make if it rolls a distance of 108pi cm?
Since it'll be rolling around the outside of the circle, the distance traveled will be in some multiple of the circumference. So, dividing the distance by the circumference will give the answer. C = πD = 6π revolutions = distance / circumference = 108π / 6π = 18 revolutions
The wheels circumference is how many times as big as its diameter?
A wheel is in the shape of a circle. The formula for the circumference of a circle is 2πr where r is the radius. But, the diameter of a circle is twice the radius so this equation can be written, Circumference = πd where d is the diameter. The Circumference is therefore π times as big as the diameter, π = 3.142 or 22/7 approx.
