A bicycle wheel of radius 42cm is rolled over a distance of 66cm. How many revolutions does it make?
66/42 = 1.57 times
Cir. = pi * 2r = 3.14 * 84 = 263.8 cm.
66cm * 1rev/263.8cm = 0.25 = 1/4 rev.
To find the number of revolutions the bicycle wheel makes, we need to consider the relationship between the circumference of the wheel and the distance it travels.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, the radius of the bicycle wheel is given as 42 cm. Therefore, the circumference of the wheel is:
C = 2π(42 cm) = 84π cm
Now, we need to find how many times this circumference fits into the distance the wheel travels, which is given as 66 cm.
To do this, we can divide the distance by the circumference:
Number of revolutions = Distance traveled / Circumference
Number of revolutions = 66 cm / (84π cm)
To simplify, we can divide the numerator and denominator by 6 (since 6 is a common factor of both numbers):
Number of revolutions = (11 cm / (14π cm)) * (1/6)
Now, we can convert the expression into decimal form by dividing 11 by 14π and multiplying by 1/6.
Number of revolutions ≈ 0.249
Therefore, the bicycle wheel makes approximately 0.249 revolutions when rolled over a distance of 66 cm.