Zitsanzo za kusuntha kwa angular ndi kusuntha kwa mzere mukuyenda kozungulira

Zitsanzo 5 za kusuntha kwa angular ndi kusuntha kwa mzere mukuyenda kozungulira

1. Gudumu lokhala ndi utali wa masentimita 30 limazungulira mtunda wa ma radian 10. Kodi mfundo imodzi yomwe ili m'mphepete mwa gudumu imapita kutali bwanji?
Zokambirana
Mtunda pakati pa m'mphepete mwa gudumu ndi pakati pa gudumu = utali wozungulira wa gudumu.
Amadziwika kuti:
Ulalo wozungulira (r) = 30 cm = 0,3 mamita
Kona (titi) = ma radians 10
Anafunsa: mtunda woyenda (ma)
Yankho:
Fomula yolumikizirana pakati pa mtunda ndi ngodya ya ulendo:
s = r titi
s = (mamita 0,3)(ma radians 10)
s = mamita 3
Mtunda woyenda ndi mfundo yomwe ili m'mphepete mwa gudumu ndi mamita atatu.

2. Gudumu lokhala ndi utali wa masentimita 50 limazungulira madigiri 360.^oKodi mfundo yomwe ili m'mphepete mwa gudumu imapita kutali bwanji?
Zokambirana
Amadziwika kuti:
Ulalo wozungulira (r) = 50 cm = 0,5 mamita
Kona (titi= = 360^o = 6,28 radian
Anafunsa: mtunda woyenda (ma)?
Yankho:
s = r titi
s = (mamita 0,5)(ma radians 6,28)
s = mamita 3,14
Mtunda woyenda ndi mfundo yomwe ili m'mphepete mwa gudumu ndi mamita atatu.

3. Gudumu lokhala ndi utali wa masentimita 50 limapanga maulendo awiri. Kodi mfundo imodzi m'mphepete mwa gudumu imapita kutali bwanji?
Zokambirana
Amadziwika kuti:
Utali wozungulira = 50 cm = 0,5 mamita
Kona (titi) = 2 ma redians = (2)(6,28 ma radians) = 12,56 ma radians
Anafunsa: mtunda woyenda (ma)?
Yankho:
s = r titi
s = (mamita 0,5)(ma radians 12,56)
s = mamita 6,28
Mtunda woyenda ndi mfundo yomwe ili m'mphepete mwa gudumu ndi mamita atatu.

4. Mfundo yomwe ili m'mphepete mwa propeller ya mainchesi awiri imasuntha mtunda wa mamita 100. Dziwani ngodya ya ulendo wa propeller. Iwonetseni mu ma radians, madigiri, ndi ma revolutions.
Zokambirana
Amadziwika kuti:
Ulalo wozungulira (r) = ½ (m'mimba mwake) = ½ (mamita awiri) = mita imodzi
Mtunda woyenda = mamita 100
Yankho:
(a) Ngodya yoyendera (mu ma radians)
titi = s / r = 100 / 1 = ma radians 100
(b) Ngodya yoyendera (mu madigiri)

1 radian = 360^o
Ma radians 100 = 100 (360)^o) = ma radians 36.000
(c) Ngodya yoyendera (mu ma revolutions)
Ma radians 6,28 = 1 revolution
36.000 / 6,28 = 5732,484 ma spins

5. Tinthu tating'onoting'ono timayendayenda mozungulira kwa mamita 10 ndipo timayenda ngodya ya 180^oKodi utali wa njira yozungulira ya tinthu tating'onoting'ono ndi wotani?
Zokambirana
Amadziwika kuti:
Mtunda woyenda = mamita 10
Kona (titi= = 180^o = 3,14 radian
Anafunsa: radius (r)?
Yankho:
r = s / titi = 10 / 3,14 = mamita 3,18

Katatani:
Pothetsa vutoli, ngati ngodyayo imadziwika ndi ma revolutions kapena madigiri, ndiye kuti musinthe kukhala ma radians kaye.