Kutama kweAngular uye Kutama kweLinear - ​​matambudziko nemhinduro

Kushandura mayuniti ekona (dhigirii, radian, revolution)

1. ¼ rev = ….. ^o ( dhigirii )?

mhinduro

Chimurenga chimwe = 360 ^o

½ rev = 180 ^o

¼ rev = 90 ^o

2. ½ rev = …….. r ad?

mhinduro

1 rev = 2 π rad = 2(3.14) rad = 6.28 rad

½ rev = pi rad = 3.14 rad

3. 180 ^o = ….. rev ?

mhinduro

360 ^o = 1 chimurenga

180 ^o = ½ rev

4. 90 ^o = ….. rad ?

mhinduro

360 ^o = 2 π rad = 2(3.14) rad = 6.28 rad

180 ^o = π rad = 3.14 rad

90 ^o = ½ π rad = ½ (3.14) = 1.57

5. 60 rad = ….. rev?

mhinduro

6.28 rad = 1 rev

60 rad/6.28 = 9.55 rev

6. 40 rad= ….. ^o?

mhinduro

6.28 rad = 360 ^o

40 rad/6.28 = (6.37)(360 ^o ) = 2292.99 ^o

Kutama kwekona uye kutamiswa kwakatwasuka

1. Vhiri rebhasikoro rine dhayamita ye60 cm rinotenderera ma radians gumi. Chii chinonzi linear displacement yenzvimbo iri pamucheto wevhiri?

Zvinozivikanwa:

Nharaunda (r) = 30 cm = 0.3 m

Angle (θ ) = 10 radians

Zvinodiwa: kutama kwakatwasuka (l)

Solution:

l = r θ

l = (0.3 m)(10 rad)

l = mamita matatu

2. Vhiri re50 cm mu radius rinotenderera 360 ^o . Chii chinonzi linear displacement yepoindi iri pamucheto wevhiri?

Zvinozivikanwa:

Nharaunda (r) = 50 cm = 0.5 mamita

Angle ( θ ) = 360 ^o = 6.28 radians

Zvinodiwa: kutama kwakatwasuka (l)

Solution:

l = r θ

l = (0.5 m)(6.28 rad)

l = mamita matatu

3. Vhiri re50 cm mu radius rinotenderera kaviri. Chii chinonzi linear displacement yenzvimbo iri pamucheto wevhiri?

Zvinozivikanwa:

Nharaunda (r) = 50 cm = 0,5 m

Angle ( θ ) = 2 revolutions = (2)(6.28 radians) = 12.56 radians

Zvinodiwa: kutama kwemutsara (l)?

Solution:

l = r θ

l = (0.5 m)(12.56 rad)

l = 6.28 m

4. Poindi iri pamucheto wevhiri ine mamita maviri muradius, inofamba mamita zana. Tsvaga nzvimbo ine kona.

Zvinozivikanwa:

Nharaunda (r) = ½ (dhayamita) = ½ (mamita maviri) = mita imwe

kutama kwakatwasuka (l) = mamita zana

Solution:

(a) Kufamba kwekona (muma radians)

θ = s / r = 100 / 1 = 100 radians

(b) Kuchinja kwekona (mumadhigirii)

1 radian = 360 ^o

Ma radians zana = 100(360 ^o ) = 36,000 ma radians

(c) Kutamiswa kwekona (mukuchinja)

6.28 radians = 1 revolution

36,000 / 6.28 = 5732,484 ma revolutions

5. Chidimbu chinotenderera denderedzwa remamita gumi uye chinotenderera 180 ^o . Chii chinonzi radius?

Zvinozivikanwa:

Kufamba kwemutsetse (l) = mamita gumi

Angle ( θ ) = 180 ^o = 3.14 radians

Zvinodiwa: radius (r)

Solution:

r = l / θ = 10 / 3.14 = 3.18 mamita

1. Kuchinja mayuniti emakona emuenzaniso matambudziko nemhinduro
2. Matambudziko emuenzaniso wekutama kweAngular uye linear displacement uye mhinduro
3. Matambudziko emuenzaniso wekumhanya kweAngular uye kumhanya kwemutsara ane mhinduro
4. Matambudziko emuenzaniso wekumhanyisa kweAngular uye wekumhanyisa mutsara ane mhinduro
5. Muenzaniso wematambudziko ekufamba kwakatenderera kwakafanana nemhinduro
6. Matambudziko emuenzaniso wekumhanyisa kweCentripetal nemhinduro
7. Matambudziko emhando dzakasiyana dzemafambiro edenderedzwa ane mhinduro dzakasiyana