What is the angle formed between any two consecutive spokes in a bicycle wheel if it has a total of 48 spokes spread uniformally?

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Solution

Number of spokes in the bicycle wheel = 48
The wheel is of the shape of a circle.
Angle in a circle has a measure of $360^{\circ}$ , which is a complete angle.
$∴$ Angle between any two consecutive spokes

= $\frac{Complete angle}{Number of spokes}$

= $\frac{360^{\circ}}{48}$

= 7.5°

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Question 5

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is

a) ${(5 \frac{1}{2})}^{o}$
b) ${(7 \frac{1}{2})}^{o}$
c) ${(\frac{2}{11})}^{o}$
d) ${(\frac{2}{15})}^{o}$

Q. If a bicycle wheel has 48 spokes the angle between the adjacent pair spokes is :

Question 5

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is

a) ${(5 \frac{1}{2})}^{o}$
b) ${(7 \frac{1}{2})}^{o}$
c) ${(\frac{2}{11})}^{o}$
d) ${(\frac{2}{15})}^{o}$

Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal.

(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?

(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.

(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is $40^{\circ}$ ?

$\begin{matrix} Number of spokes & 4 & 6 & 8 & 10 & 12 Angle between a pair of consecutive spokes(In degrees) & 90 & 60 \end{matrix}$
[3 MARKS]

Q. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.

Number of spokes	4	6	8	10	12
Angle between a pair of consecutive spokes (in degrees)	90	60	...	...	...

(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with

15

spokes
(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is

40

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What is the angle formed between any two consecutive spokes in a bicycle wheel if it has a total of 48 spokes spread uniformally?

Number of spokes in the bicycle wheel = 48 The wheel is of the shape of a circle. Angle in a circle has a measure of 360∘, which is a complete angle. ∴ Angle between any two consecutive spokes = Complete angleNumber of spokes = 360∘48 = 7.5°

Number of spokes in the bicycle wheel = 48
The wheel is of the shape of a circle.
Angle in a circle has a measure of $360^{\circ}$ , which is a complete angle.
$∴$ Angle between any two consecutive spokes

= $\frac{Complete angle}{Number of spokes}$

= $\frac{360^{\circ}}{48}$

= 7.5°