Question

A circular road of radius 50 m has the angle of banking equal to 30°. At what speed should a vehicle go on this road so that the friction is not used?​

Answer 1

Explanation:

ǫᴜᴇsᴛɪᴏɴ :-

ᴀ ᴄɪʀᴄᴜʟᴀʀ ʀᴏᴀᴅ ᴏғ ʀᴀᴅɪᴜs 50ᴍ ʜᴀs ᴛʜᴇ ᴀɴɢʟᴇ ᴏғ ʙᴀɴᴋɪɴɢ ᴇǫᴜᴀʟ ᴛᴏ 30° . Aᴛ ᴡʜᴀᴛ sᴘᴇᴇᴅ sʜᴏᴜʟᴅ sʜᴏᴜʟᴅ ᴀ ᴠᴇᴄʜɪʟᴇ ɢᴏ ᴏɴ ᴛʜɪs ʀᴏᴀᴅ sᴏ ᴛʜᴀᴛ ᴛʜᴇ ғʀɪᴄᴛɪᴏɴ ɪs ɴᴏᴛ ᴜsᴇᴅ ?

sᴏʟᴜᴛɪᴏɴ :-

ᴀɴɢʟᴇ ᴏғ ʙᴀɴᴋɪɴɢ (ᴛʜɪᴛᴀ) = 30°

Rᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴘᴀᴛʜ = 50 ᴍ

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ɪɴ ᴄᴀsᴇ ᴏғ ᴀ ʀᴏᴀᴅ ɪs ʙᴀɴᴋᴇᴅ ᴀɴᴅ ɴᴏ ғʀɪᴄᴛɪᴏɴ ɪs ᴜsᴇᴅ , ᴛʜᴇɴ ,

ɴ ᴄᴏs (ᴛʜɪᴛᴀ) = ᴍɢ -------ᴇǫᴜᴀᴛɪᴏɴ (1)

ᴀɴᴅ

N sɪɴ ( ᴛʜɪᴛᴀ) = ᴍᴠ²/ʀ -------ᴇǫᴜᴀᴛɪᴏɴ (2)

ᴅɪᴠɪᴅɪɴɢ (ɪɪ) ғʀᴏᴍ (ɪ) ᴇǫᴜᴀᴛɪᴏɴ

ᴛᴀɴ (ᴛʜɪᴛᴀ) = ᴠ²/ʀɢ

ɴᴏᴡ,,

➡️tan 30° = v²/50 × 10

➡️ᴠ² = 500/$\sqrt{3}$

➡️ v² = 288.67

⁂ ᴠ = 1.69 M/s

ʜᴇɴᴄᴇ, ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ᴛʜᴇ ᴠᴇɪᴄʜʟᴇ ɪs 1.69 ᴍ/s.

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ᴍᴀʀᴋ ʙᴀʀɪɴʟɪsᴛ

Answer 2

Answer:

ᴀɴɢʟᴇ ᴏғ ʙᴀɴᴋɪɴɢ (ᴛʜɪᴛᴀ) = 30°

Rᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴘᴀᴛʜ = 50 ᴍ

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ɪɴ ᴄᴀsᴇ ᴏғ ᴀ ʀᴏᴀᴅ ɪs ʙᴀɴᴋᴇᴅ ᴀɴᴅ ɴᴏ ғʀɪᴄᴛɪᴏɴ ɪs ᴜsᴇᴅ , ᴛʜᴇɴ ,

ɴ ᴄᴏs (ᴛʜɪᴛᴀ) = ᴍɢ -------ᴇǫᴜᴀᴛɪᴏɴ (1)

ᴀɴᴅ

N sɪɴ ( ᴛʜɪᴛᴀ) = ᴍᴠ²/ʀ -------ᴇǫᴜᴀᴛɪᴏɴ (2)

ᴅɪᴠɪᴅɪɴɢ (ɪɪ) ғʀᴏᴍ (ɪ) ᴇǫᴜᴀᴛɪᴏɴ

ᴛᴀɴ (ᴛʜɪᴛᴀ) = ᴠ²/ʀɢ

ɴᴏᴡ,,

➡️tan 30° = v²/50 × 10

➡️ᴠ² = 500/

➡️ v² = 288.67

⁂ ᴠ = 1.69 M/s

ʜᴇɴᴄᴇ, ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ᴛʜᴇ ᴠᴇɪᴄʜʟᴇ ɪs 1.69 ᴍ/s.

#yashi

Explanation: