A car has two wipers which do not overlap each other wiper has blade of length 25cm sweeping through an angle of115° find the total area cleaned at each sweep of the blade.
Answers
r = length of the blade = 25 cm = 0.25 m
θ = sweeping angle of wiper = 115 deg
area covered by each wiper is given as
A = (θ/360) (π r²)
inserting the above values
A = (115/360) ((3.14) (0.25)²)
A = 0.063 m²
area covered by both wipers is the sum and is given as
A' = 2A
A' = 2(0.063)
A' = 0.126 m²
hence total cleaned at each sweep of blade is 0.126 m²
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⎟⎟ ✪✪ ＱＵＥＳＴＩＯＮ ✪✪⎟⎟
A ᴄᴀʀ ʜᴀs ᴛᴡᴏ ᴡɪᴘᴇʀs ᴡʜɪᴄʜ ᴅᴏ ɴᴏᴛ ᴏᴠᴇʀʟᴀᴘ ᴇᴀᴄʜ ᴏᴛʜᴇʀ ᴡɪᴘᴇʀ ʜᴀs ʙʟᴀᴅᴇ ᴏғ ʟᴇɴɢᴛʜ 25ᴄᴍ sᴡᴇᴇᴘɪɴɢ ᴛʜʀᴏᴜɢʜ ᴀɴ ᴀɴɢʟᴇ ᴏғ115° ғɪɴᴅ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴀʀᴇᴀ ᴄʟᴇᴀɴᴇᴅ ᴀᴛ ᴇᴀᴄʜ sᴡᴇᴇᴘ ᴏғ ᴛʜᴇ ʙʟᴀᴅᴇ.
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⎟⎟ ✪✪ ＡＮＳＷＥＲ ✪✪⎟⎟
Aɴɢʟᴇ ᴍᴀᴅᴇ ʙʏ ᴛʜᴇ ᴇᴀᴄʜ ʙʟᴀᴅᴇ = 115°
∴ Tᴏᴛᴀʟ ᴀʀᴇᴀ sᴡᴇᴘᴛ ʙʏ ᴛᴡᴏ ʙʟᴀᴅᴇs = Aʀᴇᴀ ᴏғ ᴛʜᴇ sᴇᴄᴛᴏʀ ᴡɪᴛʜ ʀᴀᴅɪᴜs
25ᴄᴍ ᴀɴᴅ ᴀɴɢʟᴇ 115° + 115° = 230°
= x/360 × πr^2
= 230/360 × 22/7 × 25 × 25
= 1254.96 ≃ 12.55 cm^2
Sᴏ, Tʜᴇ ᴛᴏᴛᴀʟ ᴀʀᴇᴀ ᴄʟᴇᴀɴᴇᴅ ᴀᴛ ᴇᴀᴄʜ sᴡᴇᴇᴘ ᴏғ ᴛʜᴇ ʙʟᴀᴅᴇs = 12.55 ᴄᴍ^2
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