Question

The acceleration of a body undergoing a uniform circular motion is given by.

Answer 1

Answer:

As its speed is unchanging, the acceleration must be perpendicular to the direction of motion, and thus toward the center of the circle. Its magnitude can be found in a number of ways, and is given by a cent = v 2 / R , \mathbf{a}_\textrm{cent} = v^2/R, acent=v2/R, where R is the radius of the circle.

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Answer 2

ᴀɴsᴡᴇʀ:

ᴀs ɪᴛs sᴘᴇᴇᴅ ɪs ᴜɴᴄʜᴀɴɢɪɴɢ, ᴛʜᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴍᴜsᴛ ʙᴇ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴛᴏ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴ ᴏғ ᴍᴏᴛɪᴏɴ, ᴀɴᴅ ᴛʜᴜs ᴛᴏᴡᴀʀᴅ ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ. ɪᴛs ᴍᴀɢɴɪᴛᴜᴅᴇ ᴄᴀɴ ʙᴇ ғᴏᴜɴᴅ ɪɴ ᴀ ɴᴜᴍʙᴇʀ ᴏғ ᴡᴀʏs, ᴀɴᴅ ɪs ɢɪᴠᴇɴ ʙʏ ᴀ ᴄᴇɴᴛ = ᴠ 2 / ʀ , \ᴍᴀᴛʜʙғ{ᴀ}_\ᴛᴇxᴛʀᴍ{ᴄᴇɴᴛ} = ᴠ^2/ʀ, ᴀᴄᴇɴᴛ=ᴠ2/ʀ, ᴡʜᴇʀᴇ ʀ ɪs ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴄɪʀᴄʟᴇ.